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Finding the Fourth Proportional to 83,166.24, 114,769.24 and 45,440.76

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Solution

The fourth proportional to 83,166.24, 114,769.24 and 45,440.76 is: 62,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.24 : 114,769.24 = 45,440.76 : x
  2. Step 2: Convert to fraction form
    83,166.24/114,769.24 = 45,440.76/x
  3. Step 3: Cross multiply
    83,166.24x = 114,769.24 × 45,440.76
  4. Step 4: Simplify right side
    83,166.24x = 5,215,201,490.22
  5. Step 5: Solve for x
    x = 5,215,201,490.22/83,166.24
  6. Step 6: Final answer
    x = 62,708.16

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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.