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Finding the Fourth Proportional to 51,891.74, 77,837.46 and 16,356.03

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Solution

The fourth proportional to 51,891.74, 77,837.46 and 16,356.03 is: 24,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.74 : 77,837.46 = 16,356.03 : x
  2. Step 2: Convert to fraction form
    51,891.74/77,837.46 = 16,356.03/x
  3. Step 3: Cross multiply
    51,891.74x = 77,837.46 × 16,356.03
  4. Step 4: Simplify right side
    51,891.74x = 1,273,111,830.88
  5. Step 5: Solve for x
    x = 1,273,111,830.88/51,891.74
  6. Step 6: Final answer
    x = 24,534.00

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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.