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Finding the Fourth Proportional to 83,027.66, 114,578 and 45,301.92

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Solution

The fourth proportional to 83,027.66, 114,578 and 45,301.92 is: 62,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.66 : 114,578 = 45,301.92 : x
  2. Step 2: Convert to fraction form
    83,027.66/114,578 = 45,301.92/x
  3. Step 3: Cross multiply
    83,027.66x = 114,578 × 45,301.92
  4. Step 4: Simplify right side
    83,027.66x = 5,190,603,389.76
  5. Step 5: Solve for x
    x = 5,190,603,389.76/83,027.66
  6. Step 6: Final answer
    x = 62,516.56

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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.