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Finding the Fourth Proportional to 51,296.73, 77,030.19 and 31,699.84

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Solution

The fourth proportional to 51,296.73, 77,030.19 and 31,699.84 is: 47,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296.73 : 77,030.19 = 31,699.84 : x
  2. Step 2: Convert to fraction form
    51,296.73/77,030.19 = 31,699.84/x
  3. Step 3: Cross multiply
    51,296.73x = 77,030.19 × 31,699.84
  4. Step 4: Simplify right side
    51,296.73x = 2,441,844,890.75
  5. Step 5: Solve for x
    x = 2,441,844,890.75/51,296.73
  6. Step 6: Final answer
    x = 47,602.35

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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.