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Finding the Fourth Proportional to 55,423.12, 83,167.80 and 20,366.32

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Solution

The fourth proportional to 55,423.12, 83,167.80 and 20,366.32 is: 30,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,423.12 : 83,167.80 = 20,366.32 : x
  2. Step 2: Convert to fraction form
    55,423.12/83,167.80 = 20,366.32/x
  3. Step 3: Cross multiply
    55,423.12x = 83,167.80 × 20,366.32
  4. Step 4: Simplify right side
    55,423.12x = 1,693,822,028.50
  5. Step 5: Solve for x
    x = 1,693,822,028.50/55,423.12
  6. Step 6: Final answer
    x = 30,561.65

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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.