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Finding the Fourth Proportional to 65,433, 98,199.12 and 47,948.52

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Solution

The fourth proportional to 65,433, 98,199.12 and 47,948.52 is: 71,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,433 : 98,199.12 = 47,948.52 : x
  2. Step 2: Convert to fraction form
    65,433/98,199.12 = 47,948.52/x
  3. Step 3: Cross multiply
    65,433x = 98,199.12 × 47,948.52
  4. Step 4: Simplify right side
    65,433x = 4,708,502,469.30
  5. Step 5: Solve for x
    x = 4,708,502,469.30/65,433
  6. Step 6: Final answer
    x = 71,959.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.