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Finding the Fourth Proportional to 55,407.22, 83,110.83 and 13,854.22

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Solution

The fourth proportional to 55,407.22, 83,110.83 and 13,854.22 is: 20,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,407.22 : 83,110.83 = 13,854.22 : x
  2. Step 2: Convert to fraction form
    55,407.22/83,110.83 = 13,854.22/x
  3. Step 3: Cross multiply
    55,407.22x = 83,110.83 × 13,854.22
  4. Step 4: Simplify right side
    55,407.22x = 1,151,435,723.20
  5. Step 5: Solve for x
    x = 1,151,435,723.20/55,407.22
  6. Step 6: Final answer
    x = 20,781.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.