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Finding the Fourth Proportional to 61,560, 92,352.96 and 24,624

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Solution

The fourth proportional to 61,560, 92,352.96 and 24,624 is: 36,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 92,352.96 = 24,624 : x
  2. Step 2: Convert to fraction form
    61,560/92,352.96 = 24,624/x
  3. Step 3: Cross multiply
    61,560x = 92,352.96 × 24,624
  4. Step 4: Simplify right side
    61,560x = 2,274,099,287.04
  5. Step 5: Solve for x
    x = 2,274,099,287.04/61,560
  6. Step 6: Final answer
    x = 36,941.18

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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.