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Finding the Fourth Proportional to 74,217.30, 102,417.93 and 40,224.30

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Solution

The fourth proportional to 74,217.30, 102,417.93 and 40,224.30 is: 55,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,217.30 : 102,417.93 = 40,224.30 : x
  2. Step 2: Convert to fraction form
    74,217.30/102,417.93 = 40,224.30/x
  3. Step 3: Cross multiply
    74,217.30x = 102,417.93 × 40,224.30
  4. Step 4: Simplify right side
    74,217.30x = 4,119,689,541.70
  5. Step 5: Solve for x
    x = 4,119,689,541.70/74,217.30
  6. Step 6: Final answer
    x = 55,508.48

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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.