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Finding the Fourth Proportional to 51,493.38, 71,024.22 and 47,258.12

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Solution

The fourth proportional to 51,493.38, 71,024.22 and 47,258.12 is: 65,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,493.38 : 71,024.22 = 47,258.12 : x
  2. Step 2: Convert to fraction form
    51,493.38/71,024.22 = 47,258.12/x
  3. Step 3: Cross multiply
    51,493.38x = 71,024.22 × 47,258.12
  4. Step 4: Simplify right side
    51,493.38x = 3,356,471,111.67
  5. Step 5: Solve for x
    x = 3,356,471,111.67/51,493.38
  6. Step 6: Final answer
    x = 65,182.58

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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.