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Finding the Fourth Proportional to 48,381.52, 72,575 and 15,106.20

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Solution

The fourth proportional to 48,381.52, 72,575 and 15,106.20 is: 22,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381.52 : 72,575 = 15,106.20 : x
  2. Step 2: Convert to fraction form
    48,381.52/72,575 = 15,106.20/x
  3. Step 3: Cross multiply
    48,381.52x = 72,575 × 15,106.20
  4. Step 4: Simplify right side
    48,381.52x = 1,096,332,465
  5. Step 5: Solve for x
    x = 1,096,332,465/48,381.52
  6. Step 6: Final answer
    x = 22,660.15

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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.