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Finding the Fourth Proportional to 38,443.68, 53,039.82 and 21,445.17

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Solution

The fourth proportional to 38,443.68, 53,039.82 and 21,445.17 is: 29,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.68 : 53,039.82 = 21,445.17 : x
  2. Step 2: Convert to fraction form
    38,443.68/53,039.82 = 21,445.17/x
  3. Step 3: Cross multiply
    38,443.68x = 53,039.82 × 21,445.17
  4. Step 4: Simplify right side
    38,443.68x = 1,137,447,956.67
  5. Step 5: Solve for x
    x = 1,137,447,956.67/38,443.68
  6. Step 6: Final answer
    x = 29,587.38

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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.