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Finding the Fourth Proportional to 83,117.18, 114,700.11 and 45,391.70

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Solution

The fourth proportional to 83,117.18, 114,700.11 and 45,391.70 is: 62,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.18 : 114,700.11 = 45,391.70 : x
  2. Step 2: Convert to fraction form
    83,117.18/114,700.11 = 45,391.70/x
  3. Step 3: Cross multiply
    83,117.18x = 114,700.11 × 45,391.70
  4. Step 4: Simplify right side
    83,117.18x = 5,206,432,983.09
  5. Step 5: Solve for x
    x = 5,206,432,983.09/83,117.18
  6. Step 6: Final answer
    x = 62,639.67

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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.