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Finding the Fourth Proportional to 48,472.47, 72,709.62 and 15,191.80

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Solution

The fourth proportional to 48,472.47, 72,709.62 and 15,191.80 is: 22,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472.47 : 72,709.62 = 15,191.80 : x
  2. Step 2: Convert to fraction form
    48,472.47/72,709.62 = 15,191.80/x
  3. Step 3: Cross multiply
    48,472.47x = 72,709.62 × 15,191.80
  4. Step 4: Simplify right side
    48,472.47x = 1,104,590,005.12
  5. Step 5: Solve for x
    x = 1,104,590,005.12/48,472.47
  6. Step 6: Final answer
    x = 22,787.99

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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.