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Finding the Fourth Proportional to 38,147.94, 52,648.65 and 21,377.70

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Solution

The fourth proportional to 38,147.94, 52,648.65 and 21,377.70 is: 29,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.94 : 52,648.65 = 21,377.70 : x
  2. Step 2: Convert to fraction form
    38,147.94/52,648.65 = 21,377.70/x
  3. Step 3: Cross multiply
    38,147.94x = 52,648.65 × 21,377.70
  4. Step 4: Simplify right side
    38,147.94x = 1,125,507,045.11
  5. Step 5: Solve for x
    x = 1,125,507,045.11/38,147.94
  6. Step 6: Final answer
    x = 29,503.74

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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.