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Finding the Fourth Proportional to 38,332.83, 57,478.39 and 13,366.20

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Solution

The fourth proportional to 38,332.83, 57,478.39 and 13,366.20 is: 20,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,332.83 : 57,478.39 = 13,366.20 : x
  2. Step 2: Convert to fraction form
    38,332.83/57,478.39 = 13,366.20/x
  3. Step 3: Cross multiply
    38,332.83x = 57,478.39 × 13,366.20
  4. Step 4: Simplify right side
    38,332.83x = 768,267,888.67
  5. Step 5: Solve for x
    x = 768,267,888.67/38,332.83
  6. Step 6: Final answer
    x = 20,042.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.