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Finding the Fourth Proportional to 47,454, 65,480.84 and 26,230.38

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Solution

The fourth proportional to 47,454, 65,480.84 and 26,230.38 is: 36,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454 : 65,480.84 = 26,230.38 : x
  2. Step 2: Convert to fraction form
    47,454/65,480.84 = 26,230.38/x
  3. Step 3: Cross multiply
    47,454x = 65,480.84 × 26,230.38
  4. Step 4: Simplify right side
    47,454x = 1,717,587,184.77
  5. Step 5: Solve for x
    x = 1,717,587,184.77/47,454
  6. Step 6: Final answer
    x = 36,194.78

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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.