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Finding the Fourth Proportional to 83,065.91, 114,630.95 and 45,340.16

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Solution

The fourth proportional to 83,065.91, 114,630.95 and 45,340.16 is: 62,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.91 : 114,630.95 = 45,340.16 : x
  2. Step 2: Convert to fraction form
    83,065.91/114,630.95 = 45,340.16/x
  3. Step 3: Cross multiply
    83,065.91x = 114,630.95 × 45,340.16
  4. Step 4: Simplify right side
    83,065.91x = 5,197,384,814.10
  5. Step 5: Solve for x
    x = 5,197,384,814.10/83,065.91
  6. Step 6: Final answer
    x = 62,569.41

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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.