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Finding the Fourth Proportional to 71,382, 107,087.52 and 24,628.80

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Solution

The fourth proportional to 71,382, 107,087.52 and 24,628.80 is: 36,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382 : 107,087.52 = 24,628.80 : x
  2. Step 2: Convert to fraction form
    71,382/107,087.52 = 24,628.80/x
  3. Step 3: Cross multiply
    71,382x = 107,087.52 × 24,628.80
  4. Step 4: Simplify right side
    71,382x = 2,637,437,112.58
  5. Step 5: Solve for x
    x = 2,637,437,112.58/71,382
  6. Step 6: Final answer
    x = 36,948.21

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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.