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Finding the Fourth Proportional to 38,144.50, 52,641.57 and 21,378.58

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Solution

The fourth proportional to 38,144.50, 52,641.57 and 21,378.58 is: 29,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.50 : 52,641.57 = 21,378.58 : x
  2. Step 2: Convert to fraction form
    38,144.50/52,641.57 = 21,378.58/x
  3. Step 3: Cross multiply
    38,144.50x = 52,641.57 × 21,378.58
  4. Step 4: Simplify right side
    38,144.50x = 1,125,402,015.57
  5. Step 5: Solve for x
    x = 1,125,402,015.57/38,144.50
  6. Step 6: Final answer
    x = 29,503.65

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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.