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Finding the Fourth Proportional to 51,997,971.80, 77,996,957.70 and 36,881,427.80

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Solution

The fourth proportional to 51,997,971.80, 77,996,957.70 and 36,881,427.80 is: 55,322,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997,971.80 : 77,996,957.70 = 36,881,427.80 : x
  2. Step 2: Convert to fraction form
    51,997,971.80/77,996,957.70 = 36,881,427.80/x
  3. Step 3: Cross multiply
    51,997,971.80x = 77,996,957.70 × 36,881,427.80
  4. Step 4: Simplify right side
    51,997,971.80x = 2,876,639,164,032,204
  5. Step 5: Solve for x
    x = 2,876,639,164,032,204/51,997,971.80
  6. Step 6: Final answer
    x = 55,322,141.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.