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Finding the Fourth Proportional to 38,486.52, 53,113.72 and 21,490.76

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Solution

The fourth proportional to 38,486.52, 53,113.72 and 21,490.76 is: 29,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.52 : 53,113.72 = 21,490.76 : x
  2. Step 2: Convert to fraction form
    38,486.52/53,113.72 = 21,490.76/x
  3. Step 3: Cross multiply
    38,486.52x = 53,113.72 × 21,490.76
  4. Step 4: Simplify right side
    38,486.52x = 1,141,454,209.23
  5. Step 5: Solve for x
    x = 1,141,454,209.23/38,486.52
  6. Step 6: Final answer
    x = 29,658.55

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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.