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Finding the Fourth Proportional to 38,353, 52,930.02 and 21,585.64

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Solution

The fourth proportional to 38,353, 52,930.02 and 21,585.64 is: 29,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353 : 52,930.02 = 21,585.64 : x
  2. Step 2: Convert to fraction form
    38,353/52,930.02 = 21,585.64/x
  3. Step 3: Cross multiply
    38,353x = 52,930.02 × 21,585.64
  4. Step 4: Simplify right side
    38,353x = 1,142,528,356.91
  5. Step 5: Solve for x
    x = 1,142,528,356.91/38,353
  6. Step 6: Final answer
    x = 29,789.80

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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.