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Finding the Fourth Proportional to 48,147.64, 72,246.65 and 19,705.71

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Solution

The fourth proportional to 48,147.64, 72,246.65 and 19,705.71 is: 29,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,147.64 : 72,246.65 = 19,705.71 : x
  2. Step 2: Convert to fraction form
    48,147.64/72,246.65 = 19,705.71/x
  3. Step 3: Cross multiply
    48,147.64x = 72,246.65 × 19,705.71
  4. Step 4: Simplify right side
    48,147.64x = 1,423,671,073.61
  5. Step 5: Solve for x
    x = 1,423,671,073.61/48,147.64
  6. Step 6: Final answer
    x = 29,568.87

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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.