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Finding the Fourth Proportional to 48,286.71, 72,412.24 and 16,688.71

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Solution

The fourth proportional to 48,286.71, 72,412.24 and 16,688.71 is: 25,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286.71 : 72,412.24 = 16,688.71 : x
  2. Step 2: Convert to fraction form
    48,286.71/72,412.24 = 16,688.71/x
  3. Step 3: Cross multiply
    48,286.71x = 72,412.24 × 16,688.71
  4. Step 4: Simplify right side
    48,286.71x = 1,208,466,873.81
  5. Step 5: Solve for x
    x = 1,208,466,873.81/48,286.71
  6. Step 6: Final answer
    x = 25,026.90

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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.