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Finding the Fourth Proportional to 72,384.81, 108,587.70 and 22,468.95

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Solution

The fourth proportional to 72,384.81, 108,587.70 and 22,468.95 is: 33,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,384.81 : 108,587.70 = 22,468.95 : x
  2. Step 2: Convert to fraction form
    72,384.81/108,587.70 = 22,468.95/x
  3. Step 3: Cross multiply
    72,384.81x = 108,587.70 × 22,468.95
  4. Step 4: Simplify right side
    72,384.81x = 2,439,851,601.92
  5. Step 5: Solve for x
    x = 2,439,851,601.92/72,384.81
  6. Step 6: Final answer
    x = 33,706.68

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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.