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Finding the Fourth Proportional to 51,432, 77,148 and 14,496

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Solution

The fourth proportional to 51,432, 77,148 and 14,496 is: 21,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 77,148 = 14,496 : x
  2. Step 2: Convert to fraction form
    51,432/77,148 = 14,496/x
  3. Step 3: Cross multiply
    51,432x = 77,148 × 14,496
  4. Step 4: Simplify right side
    51,432x = 1,118,337,408
  5. Step 5: Solve for x
    x = 1,118,337,408/51,432
  6. Step 6: Final answer
    x = 21,744

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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.