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Finding the Fourth Proportional to 38,419.68, 53,018.92 and 21,424.12

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Solution

The fourth proportional to 38,419.68, 53,018.92 and 21,424.12 is: 29,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.68 : 53,018.92 = 21,424.12 : x
  2. Step 2: Convert to fraction form
    38,419.68/53,018.92 = 21,424.12/x
  3. Step 3: Cross multiply
    38,419.68x = 53,018.92 × 21,424.12
  4. Step 4: Simplify right side
    38,419.68x = 1,135,883,704.35
  5. Step 5: Solve for x
    x = 1,135,883,704.35/38,419.68
  6. Step 6: Final answer
    x = 29,565.15

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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.