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Finding the Fourth Proportional to 55,454.28, 83,159.28 and 32,097.12

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Solution

The fourth proportional to 55,454.28, 83,159.28 and 32,097.12 is: 48,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,454.28 : 83,159.28 = 32,097.12 : x
  2. Step 2: Convert to fraction form
    55,454.28/83,159.28 = 32,097.12/x
  3. Step 3: Cross multiply
    55,454.28x = 83,159.28 × 32,097.12
  4. Step 4: Simplify right side
    55,454.28x = 2,669,173,389.27
  5. Step 5: Solve for x
    x = 2,669,173,389.27/55,454.28
  6. Step 6: Final answer
    x = 48,132.87

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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.