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Finding the Fourth Proportional to 83,271.42, 114,917.28 and 45,545.67

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Solution

The fourth proportional to 83,271.42, 114,917.28 and 45,545.67 is: 62,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.42 : 114,917.28 = 45,545.67 : x
  2. Step 2: Convert to fraction form
    83,271.42/114,917.28 = 45,545.67/x
  3. Step 3: Cross multiply
    83,271.42x = 114,917.28 × 45,545.67
  4. Step 4: Simplify right side
    83,271.42x = 5,233,984,512.18
  5. Step 5: Solve for x
    x = 5,233,984,512.18/83,271.42
  6. Step 6: Final answer
    x = 62,854.51

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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.