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Finding the Fourth Proportional to 74,083.24, 102,234.66 and 40,549

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Solution

The fourth proportional to 74,083.24, 102,234.66 and 40,549 is: 55,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.24 : 102,234.66 = 40,549 : x
  2. Step 2: Convert to fraction form
    74,083.24/102,234.66 = 40,549/x
  3. Step 3: Cross multiply
    74,083.24x = 102,234.66 × 40,549
  4. Step 4: Simplify right side
    74,083.24x = 4,145,513,228.34
  5. Step 5: Solve for x
    x = 4,145,513,228.34/74,083.24
  6. Step 6: Final answer
    x = 55,957.50

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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.