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Finding the Fourth Proportional to 38,013.93, 52,458.90 and 21,884.40

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Solution

The fourth proportional to 38,013.93, 52,458.90 and 21,884.40 is: 30,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.93 : 52,458.90 = 21,884.40 : x
  2. Step 2: Convert to fraction form
    38,013.93/52,458.90 = 21,884.40/x
  3. Step 3: Cross multiply
    38,013.93x = 52,458.90 × 21,884.40
  4. Step 4: Simplify right side
    38,013.93x = 1,148,031,551.16
  5. Step 5: Solve for x
    x = 1,148,031,551.16/38,013.93
  6. Step 6: Final answer
    x = 30,200.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.