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Finding the Fourth Proportional to 83,710.80, 125,663.40 and 48,200.40

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Solution

The fourth proportional to 83,710.80, 125,663.40 and 48,200.40 is: 72,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.80 : 125,663.40 = 48,200.40 : x
  2. Step 2: Convert to fraction form
    83,710.80/125,663.40 = 48,200.40/x
  3. Step 3: Cross multiply
    83,710.80x = 125,663.40 × 48,200.40
  4. Step 4: Simplify right side
    83,710.80x = 6,057,026,145.36
  5. Step 5: Solve for x
    x = 6,057,026,145.36/83,710.80
  6. Step 6: Final answer
    x = 72,356.57

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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.