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Finding the Fourth Proportional to 59,677.80, 82,357.20 and 32,823.06

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Solution

The fourth proportional to 59,677.80, 82,357.20 and 32,823.06 is: 45,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,677.80 : 82,357.20 = 32,823.06 : x
  2. Step 2: Convert to fraction form
    59,677.80/82,357.20 = 32,823.06/x
  3. Step 3: Cross multiply
    59,677.80x = 82,357.20 × 32,823.06
  4. Step 4: Simplify right side
    59,677.80x = 2,703,215,317.03
  5. Step 5: Solve for x
    x = 2,703,215,317.03/59,677.80
  6. Step 6: Final answer
    x = 45,296.83

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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.