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Finding the Fourth Proportional to 83,522.75, 115,282.54 and 47,733.81

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Solution

The fourth proportional to 83,522.75, 115,282.54 and 47,733.81 is: 65,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,522.75 : 115,282.54 = 47,733.81 : x
  2. Step 2: Convert to fraction form
    83,522.75/115,282.54 = 47,733.81/x
  3. Step 3: Cross multiply
    83,522.75x = 115,282.54 × 47,733.81
  4. Step 4: Simplify right side
    83,522.75x = 5,502,874,488.04
  5. Step 5: Solve for x
    x = 5,502,874,488.04/83,522.75
  6. Step 6: Final answer
    x = 65,884.74

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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.