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Finding the Fourth Proportional to 47,770.38, 65,925.36 and 26,550

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Solution

The fourth proportional to 47,770.38, 65,925.36 and 26,550 is: 36,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.38 : 65,925.36 = 26,550 : x
  2. Step 2: Convert to fraction form
    47,770.38/65,925.36 = 26,550/x
  3. Step 3: Cross multiply
    47,770.38x = 65,925.36 × 26,550
  4. Step 4: Simplify right side
    47,770.38x = 1,750,318,308
  5. Step 5: Solve for x
    x = 1,750,318,308/47,770.38
  6. Step 6: Final answer
    x = 36,640.24

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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.