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Finding the Fourth Proportional to 45,171.84, 62,343 and 27,276.96

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Solution

The fourth proportional to 45,171.84, 62,343 and 27,276.96 is: 37,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,171.84 : 62,343 = 27,276.96 : x
  2. Step 2: Convert to fraction form
    45,171.84/62,343 = 27,276.96/x
  3. Step 3: Cross multiply
    45,171.84x = 62,343 × 27,276.96
  4. Step 4: Simplify right side
    45,171.84x = 1,700,527,517.28
  5. Step 5: Solve for x
    x = 1,700,527,517.28/45,171.84
  6. Step 6: Final answer
    x = 37,645.74

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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.