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Finding the Fourth Proportional to 83,715.93, 115,461.07 and 55,064.97

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Solution

The fourth proportional to 83,715.93, 115,461.07 and 55,064.97 is: 75,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,715.93 : 115,461.07 = 55,064.97 : x
  2. Step 2: Convert to fraction form
    83,715.93/115,461.07 = 55,064.97/x
  3. Step 3: Cross multiply
    83,715.93x = 115,461.07 × 55,064.97
  4. Step 4: Simplify right side
    83,715.93x = 6,357,860,218.06
  5. Step 5: Solve for x
    x = 6,357,860,218.06/83,715.93
  6. Step 6: Final answer
    x = 75,945.64

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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.