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Finding the Fourth Proportional to 29,952, 44,897.28 and 12,432

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Solution

The fourth proportional to 29,952, 44,897.28 and 12,432 is: 18,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 44,897.28 = 12,432 : x
  2. Step 2: Convert to fraction form
    29,952/44,897.28 = 12,432/x
  3. Step 3: Cross multiply
    29,952x = 44,897.28 × 12,432
  4. Step 4: Simplify right side
    29,952x = 558,162,984.96
  5. Step 5: Solve for x
    x = 558,162,984.96/29,952
  6. Step 6: Final answer
    x = 18,635.25

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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.