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Finding the Fourth Proportional to 51,646.50, 71,272.17 and 29,290.50

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Solution

The fourth proportional to 51,646.50, 71,272.17 and 29,290.50 is: 40,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.50 : 71,272.17 = 29,290.50 : x
  2. Step 2: Convert to fraction form
    51,646.50/71,272.17 = 29,290.50/x
  3. Step 3: Cross multiply
    51,646.50x = 71,272.17 × 29,290.50
  4. Step 4: Simplify right side
    51,646.50x = 2,087,597,495.39
  5. Step 5: Solve for x
    x = 2,087,597,495.39/51,646.50
  6. Step 6: Final answer
    x = 40,420.89

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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.