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Finding the Fourth Proportional to 47,902.75, 65,995.62 and 37,827.47

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Solution

The fourth proportional to 47,902.75, 65,995.62 and 37,827.47 is: 52,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.75 : 65,995.62 = 37,827.47 : x
  2. Step 2: Convert to fraction form
    47,902.75/65,995.62 = 37,827.47/x
  3. Step 3: Cross multiply
    47,902.75x = 65,995.62 × 37,827.47
  4. Step 4: Simplify right side
    47,902.75x = 2,496,447,335.68
  5. Step 5: Solve for x
    x = 2,496,447,335.68/47,902.75
  6. Step 6: Final answer
    x = 52,114.91

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1.5x scale

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.