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Finding the Fourth Proportional to 38,599.38, 53,265.33 and 21,829.14

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Solution

The fourth proportional to 38,599.38, 53,265.33 and 21,829.14 is: 30,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599.38 : 53,265.33 = 21,829.14 : x
  2. Step 2: Convert to fraction form
    38,599.38/53,265.33 = 21,829.14/x
  3. Step 3: Cross multiply
    38,599.38x = 53,265.33 × 21,829.14
  4. Step 4: Simplify right side
    38,599.38x = 1,162,736,345.72
  5. Step 5: Solve for x
    x = 1,162,736,345.72/38,599.38
  6. Step 6: Final answer
    x = 30,123.19

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Why These Related Problems?

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