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Finding the Fourth Proportional to 55,416, 83,160.48 and 24,251.28

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Solution

The fourth proportional to 55,416, 83,160.48 and 24,251.28 is: 36,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,416 : 83,160.48 = 24,251.28 : x
  2. Step 2: Convert to fraction form
    55,416/83,160.48 = 24,251.28/x
  3. Step 3: Cross multiply
    55,416x = 83,160.48 × 24,251.28
  4. Step 4: Simplify right side
    55,416x = 2,016,748,085.41
  5. Step 5: Solve for x
    x = 2,016,748,085.41/55,416
  6. Step 6: Final answer
    x = 36,392.88

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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.