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Finding the Fourth Proportional to 83,020.65, 114,568.43 and 45,294.90

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Solution

The fourth proportional to 83,020.65, 114,568.43 and 45,294.90 is: 62,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020.65 : 114,568.43 = 45,294.90 : x
  2. Step 2: Convert to fraction form
    83,020.65/114,568.43 = 45,294.90/x
  3. Step 3: Cross multiply
    83,020.65x = 114,568.43 × 45,294.90
  4. Step 4: Simplify right side
    83,020.65x = 5,189,364,923.90
  5. Step 5: Solve for x
    x = 5,189,364,923.90/83,020.65
  6. Step 6: Final answer
    x = 62,506.92

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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.