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Finding the Fourth Proportional to 38,425.92, 53,025.92 and 21,658.88

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Solution

The fourth proportional to 38,425.92, 53,025.92 and 21,658.88 is: 29,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.92 : 53,025.92 = 21,658.88 : x
  2. Step 2: Convert to fraction form
    38,425.92/53,025.92 = 21,658.88/x
  3. Step 3: Cross multiply
    38,425.92x = 53,025.92 × 21,658.88
  4. Step 4: Simplify right side
    38,425.92x = 1,148,482,038.17
  5. Step 5: Solve for x
    x = 1,148,482,038.17/38,425.92
  6. Step 6: Final answer
    x = 29,888.21

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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.