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Finding the Fourth Proportional to 83,710.80, 125,582.40 and 24,548.40

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Solution

The fourth proportional to 83,710.80, 125,582.40 and 24,548.40 is: 36,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.80 : 125,582.40 = 24,548.40 : x
  2. Step 2: Convert to fraction form
    83,710.80/125,582.40 = 24,548.40/x
  3. Step 3: Cross multiply
    83,710.80x = 125,582.40 × 24,548.40
  4. Step 4: Simplify right side
    83,710.80x = 3,082,846,988.16
  5. Step 5: Solve for x
    x = 3,082,846,988.16/83,710.80
  6. Step 6: Final answer
    x = 36,827.35

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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.