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Finding the Fourth Proportional to 40,174.71, 60,253.41 and 16,459

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Solution

The fourth proportional to 40,174.71, 60,253.41 and 16,459 is: 24,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,174.71 : 60,253.41 = 16,459 : x
  2. Step 2: Convert to fraction form
    40,174.71/60,253.41 = 16,459/x
  3. Step 3: Cross multiply
    40,174.71x = 60,253.41 × 16,459
  4. Step 4: Simplify right side
    40,174.71x = 991,710,875.19
  5. Step 5: Solve for x
    x = 991,710,875.19/40,174.71
  6. Step 6: Final answer
    x = 24,684.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.