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Finding the Fourth Proportional to 38,432, 53,036.16 and 21,665.60

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Solution

The fourth proportional to 38,432, 53,036.16 and 21,665.60 is: 29,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432 : 53,036.16 = 21,665.60 : x
  2. Step 2: Convert to fraction form
    38,432/53,036.16 = 21,665.60/x
  3. Step 3: Cross multiply
    38,432x = 53,036.16 × 21,665.60
  4. Step 4: Simplify right side
    38,432x = 1,149,060,228.10
  5. Step 5: Solve for x
    x = 1,149,060,228.10/38,432
  6. Step 6: Final answer
    x = 29,898.53

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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.