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Finding the Fourth Proportional to 70,098.56, 96,735.92 and 44,948

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Solution

The fourth proportional to 70,098.56, 96,735.92 and 44,948 is: 62,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.56 : 96,735.92 = 44,948 : x
  2. Step 2: Convert to fraction form
    70,098.56/96,735.92 = 44,948/x
  3. Step 3: Cross multiply
    70,098.56x = 96,735.92 × 44,948
  4. Step 4: Simplify right side
    70,098.56x = 4,348,086,132.16
  5. Step 5: Solve for x
    x = 4,348,086,132.16/70,098.56
  6. Step 6: Final answer
    x = 62,028.18

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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.