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Finding the Fourth Proportional to 83,032.56, 114,584.49 and 45,306.81

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Solution

The fourth proportional to 83,032.56, 114,584.49 and 45,306.81 is: 62,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.56 : 114,584.49 = 45,306.81 : x
  2. Step 2: Convert to fraction form
    83,032.56/114,584.49 = 45,306.81/x
  3. Step 3: Cross multiply
    83,032.56x = 114,584.49 × 45,306.81
  4. Step 4: Simplify right side
    83,032.56x = 5,191,457,717.38
  5. Step 5: Solve for x
    x = 5,191,457,717.38/83,032.56
  6. Step 6: Final answer
    x = 62,523.16

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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.