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Finding the Fourth Proportional to 47,775.70, 65,925.06 and 27,638.90

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Solution

The fourth proportional to 47,775.70, 65,925.06 and 27,638.90 is: 38,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,775.70 : 65,925.06 = 27,638.90 : x
  2. Step 2: Convert to fraction form
    47,775.70/65,925.06 = 27,638.90/x
  3. Step 3: Cross multiply
    47,775.70x = 65,925.06 × 27,638.90
  4. Step 4: Simplify right side
    47,775.70x = 1,822,096,002.57
  5. Step 5: Solve for x
    x = 1,822,096,002.57/47,775.70
  6. Step 6: Final answer
    x = 38,138.55

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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.