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Finding the Fourth Proportional to 38,432.70, 53,036.10 and 21,437.46

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Solution

The fourth proportional to 38,432.70, 53,036.10 and 21,437.46 is: 29,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432.70 : 53,036.10 = 21,437.46 : x
  2. Step 2: Convert to fraction form
    38,432.70/53,036.10 = 21,437.46/x
  3. Step 3: Cross multiply
    38,432.70x = 53,036.10 × 21,437.46
  4. Step 4: Simplify right side
    38,432.70x = 1,136,959,272.31
  5. Step 5: Solve for x
    x = 1,136,959,272.31/38,432.70
  6. Step 6: Final answer
    x = 29,583.12

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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.