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Finding the Fourth Proportional to 83,224.40, 114,850.13 and 45,498.65

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Solution

The fourth proportional to 83,224.40, 114,850.13 and 45,498.65 is: 62,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.40 : 114,850.13 = 45,498.65 : x
  2. Step 2: Convert to fraction form
    83,224.40/114,850.13 = 45,498.65/x
  3. Step 3: Cross multiply
    83,224.40x = 114,850.13 × 45,498.65
  4. Step 4: Simplify right side
    83,224.40x = 5,225,525,065.58
  5. Step 5: Solve for x
    x = 5,225,525,065.58/83,224.40
  6. Step 6: Final answer
    x = 62,788.38

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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.