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Finding the Fourth Proportional to 38,573.12, 53,248.22 and 22,658.57

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Solution

The fourth proportional to 38,573.12, 53,248.22 and 22,658.57 is: 31,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.12 : 53,248.22 = 22,658.57 : x
  2. Step 2: Convert to fraction form
    38,573.12/53,248.22 = 22,658.57/x
  3. Step 3: Cross multiply
    38,573.12x = 53,248.22 × 22,658.57
  4. Step 4: Simplify right side
    38,573.12x = 1,206,528,140.71
  5. Step 5: Solve for x
    x = 1,206,528,140.71/38,573.12
  6. Step 6: Final answer
    x = 31,278.99

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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.