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Finding the Fourth Proportional to 78,323.20, 108,142.20 and 48,148.99

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Solution

The fourth proportional to 78,323.20, 108,142.20 and 48,148.99 is: 66,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323.20 : 108,142.20 = 48,148.99 : x
  2. Step 2: Convert to fraction form
    78,323.20/108,142.20 = 48,148.99/x
  3. Step 3: Cross multiply
    78,323.20x = 108,142.20 × 48,148.99
  4. Step 4: Simplify right side
    78,323.20x = 5,206,937,706.38
  5. Step 5: Solve for x
    x = 5,206,937,706.38/78,323.20
  6. Step 6: Final answer
    x = 66,480.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.