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Finding the Fourth Proportional to 47,720, 65,854.88 and 26,500.16

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Solution

The fourth proportional to 47,720, 65,854.88 and 26,500.16 is: 36,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,720 : 65,854.88 = 26,500.16 : x
  2. Step 2: Convert to fraction form
    47,720/65,854.88 = 26,500.16/x
  3. Step 3: Cross multiply
    47,720x = 65,854.88 × 26,500.16
  4. Step 4: Simplify right side
    47,720x = 1,745,164,856.78
  5. Step 5: Solve for x
    x = 1,745,164,856.78/47,720
  6. Step 6: Final answer
    x = 36,570.93

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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.