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Finding the Fourth Proportional to 51,651, 71,275.32 and 28,985.22

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Solution

The fourth proportional to 51,651, 71,275.32 and 28,985.22 is: 39,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651 : 71,275.32 = 28,985.22 : x
  2. Step 2: Convert to fraction form
    51,651/71,275.32 = 28,985.22/x
  3. Step 3: Cross multiply
    51,651x = 71,275.32 × 28,985.22
  4. Step 4: Simplify right side
    51,651x = 2,065,930,830.77
  5. Step 5: Solve for x
    x = 2,065,930,830.77/51,651
  6. Step 6: Final answer
    x = 39,997.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.