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Finding the Fourth Proportional to 83,698.80, 125,548.20 and 48,269.40

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Solution

The fourth proportional to 83,698.80, 125,548.20 and 48,269.40 is: 72,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.80 : 125,548.20 = 48,269.40 : x
  2. Step 2: Convert to fraction form
    83,698.80/125,548.20 = 48,269.40/x
  3. Step 3: Cross multiply
    83,698.80x = 125,548.20 × 48,269.40
  4. Step 4: Simplify right side
    83,698.80x = 6,060,136,285.08
  5. Step 5: Solve for x
    x = 6,060,136,285.08/83,698.80
  6. Step 6: Final answer
    x = 72,404.10

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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.