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Finding the Fourth Proportional to 83,065.98, 114,631.02 and 45,340.24

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Solution

The fourth proportional to 83,065.98, 114,631.02 and 45,340.24 is: 62,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.98 : 114,631.02 = 45,340.24 : x
  2. Step 2: Convert to fraction form
    83,065.98/114,631.02 = 45,340.24/x
  3. Step 3: Cross multiply
    83,065.98x = 114,631.02 × 45,340.24
  4. Step 4: Simplify right side
    83,065.98x = 5,197,397,958.24
  5. Step 5: Solve for x
    x = 5,197,397,958.24/83,065.98
  6. Step 6: Final answer
    x = 62,569.51

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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.