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Finding the Fourth Proportional to 74,253.08, 102,469.10 and 40,719

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Solution

The fourth proportional to 74,253.08, 102,469.10 and 40,719 is: 56,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,253.08 : 102,469.10 = 40,719 : x
  2. Step 2: Convert to fraction form
    74,253.08/102,469.10 = 40,719/x
  3. Step 3: Cross multiply
    74,253.08x = 102,469.10 × 40,719
  4. Step 4: Simplify right side
    74,253.08x = 4,172,439,282.90
  5. Step 5: Solve for x
    x = 4,172,439,282.90/74,253.08
  6. Step 6: Final answer
    x = 56,192.14

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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.