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Finding the Fourth Proportional to 38,437.84, 53,044.14 and 21,442.09

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Solution

The fourth proportional to 38,437.84, 53,044.14 and 21,442.09 is: 29,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,437.84 : 53,044.14 = 21,442.09 : x
  2. Step 2: Convert to fraction form
    38,437.84/53,044.14 = 21,442.09/x
  3. Step 3: Cross multiply
    38,437.84x = 53,044.14 × 21,442.09
  4. Step 4: Simplify right side
    38,437.84x = 1,137,377,223.85
  5. Step 5: Solve for x
    x = 1,137,377,223.85/38,437.84
  6. Step 6: Final answer
    x = 29,590.04

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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.