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Finding the Fourth Proportional to 74,200.50, 102,403.17 and 40,672.98

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Solution

The fourth proportional to 74,200.50, 102,403.17 and 40,672.98 is: 56,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.50 : 102,403.17 = 40,672.98 : x
  2. Step 2: Convert to fraction form
    74,200.50/102,403.17 = 40,672.98/x
  3. Step 3: Cross multiply
    74,200.50x = 102,403.17 × 40,672.98
  4. Step 4: Simplify right side
    74,200.50x = 4,165,042,085.35
  5. Step 5: Solve for x
    x = 4,165,042,085.35/74,200.50
  6. Step 6: Final answer
    x = 56,132.26

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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.