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Finding the Fourth Proportional to 83,403.88, 115,068.76 and 47,568.12

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Solution

The fourth proportional to 83,403.88, 115,068.76 and 47,568.12 is: 65,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,403.88 : 115,068.76 = 47,568.12 : x
  2. Step 2: Convert to fraction form
    83,403.88/115,068.76 = 47,568.12/x
  3. Step 3: Cross multiply
    83,403.88x = 115,068.76 × 47,568.12
  4. Step 4: Simplify right side
    83,403.88x = 5,473,604,583.93
  5. Step 5: Solve for x
    x = 5,473,604,583.93/83,403.88
  6. Step 6: Final answer
    x = 65,627.70

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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.