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Finding the Fourth Proportional to 43,374, 59,856.16 and 23,502

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Solution

The fourth proportional to 43,374, 59,856.16 and 23,502 is: 32,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,374 : 59,856.16 = 23,502 : x
  2. Step 2: Convert to fraction form
    43,374/59,856.16 = 23,502/x
  3. Step 3: Cross multiply
    43,374x = 59,856.16 × 23,502
  4. Step 4: Simplify right side
    43,374x = 1,406,739,472.32
  5. Step 5: Solve for x
    x = 1,406,739,472.32/43,374
  6. Step 6: Final answer
    x = 32,432.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.