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Finding the Fourth Proportional to 71,458.59, 107,189.10 and 27,106.23

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Solution

The fourth proportional to 71,458.59, 107,189.10 and 27,106.23 is: 40,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,458.59 : 107,189.10 = 27,106.23 : x
  2. Step 2: Convert to fraction form
    71,458.59/107,189.10 = 27,106.23/x
  3. Step 3: Cross multiply
    71,458.59x = 107,189.10 × 27,106.23
  4. Step 4: Simplify right side
    71,458.59x = 2,905,492,398.09
  5. Step 5: Solve for x
    x = 2,905,492,398.09/71,458.59
  6. Step 6: Final answer
    x = 40,659.81

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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.