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Finding the Fourth Proportional to 48,643.81, 72,963.06 and 14,909.78

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Solution

The fourth proportional to 48,643.81, 72,963.06 and 14,909.78 is: 22,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.81 : 72,963.06 = 14,909.78 : x
  2. Step 2: Convert to fraction form
    48,643.81/72,963.06 = 14,909.78/x
  3. Step 3: Cross multiply
    48,643.81x = 72,963.06 × 14,909.78
  4. Step 4: Simplify right side
    48,643.81x = 1,087,863,172.73
  5. Step 5: Solve for x
    x = 1,087,863,172.73/48,643.81
  6. Step 6: Final answer
    x = 22,363.86

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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.