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Finding the Fourth Proportional to 55,867, 77,097.92 and 30,375.08

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Solution

The fourth proportional to 55,867, 77,097.92 and 30,375.08 is: 41,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867 : 77,097.92 = 30,375.08 : x
  2. Step 2: Convert to fraction form
    55,867/77,097.92 = 30,375.08/x
  3. Step 3: Cross multiply
    55,867x = 77,097.92 × 30,375.08
  4. Step 4: Simplify right side
    55,867x = 2,341,855,487.83
  5. Step 5: Solve for x
    x = 2,341,855,487.83/55,867
  6. Step 6: Final answer
    x = 41,918.40

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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.