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Finding the Fourth Proportional to 38,146.17, 52,644.84 and 21,155.76

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Solution

The fourth proportional to 38,146.17, 52,644.84 and 21,155.76 is: 29,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.17 : 52,644.84 = 21,155.76 : x
  2. Step 2: Convert to fraction form
    38,146.17/52,644.84 = 21,155.76/x
  3. Step 3: Cross multiply
    38,146.17x = 52,644.84 × 21,155.76
  4. Step 4: Simplify right side
    38,146.17x = 1,113,741,600.28
  5. Step 5: Solve for x
    x = 1,113,741,600.28/38,146.17
  6. Step 6: Final answer
    x = 29,196.68

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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.