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Finding the Fourth Proportional to 70,116.58, 96,761 and 38,284.80

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Solution

The fourth proportional to 70,116.58, 96,761 and 38,284.80 is: 52,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116.58 : 96,761 = 38,284.80 : x
  2. Step 2: Convert to fraction form
    70,116.58/96,761 = 38,284.80/x
  3. Step 3: Cross multiply
    70,116.58x = 96,761 × 38,284.80
  4. Step 4: Simplify right side
    70,116.58x = 3,704,475,532.80
  5. Step 5: Solve for x
    x = 3,704,475,532.80/70,116.58
  6. Step 6: Final answer
    x = 52,833.09

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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.