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Finding the Fourth Proportional to 25,733, 38,318.32 and 24,787.20

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Solution

The fourth proportional to 25,733, 38,318.32 and 24,787.20 is: 36,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733 : 38,318.32 = 24,787.20 : x
  2. Step 2: Convert to fraction form
    25,733/38,318.32 = 24,787.20/x
  3. Step 3: Cross multiply
    25,733x = 38,318.32 × 24,787.20
  4. Step 4: Simplify right side
    25,733x = 949,803,861.50
  5. Step 5: Solve for x
    x = 949,803,861.50/25,733
  6. Step 6: Final answer
    x = 36,909.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.