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Finding the Fourth Proportional to 83,521.63, 125,282.44 and 24,357.30

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Solution

The fourth proportional to 83,521.63, 125,282.44 and 24,357.30 is: 36,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,521.63 : 125,282.44 = 24,357.30 : x
  2. Step 2: Convert to fraction form
    83,521.63/125,282.44 = 24,357.30/x
  3. Step 3: Cross multiply
    83,521.63x = 125,282.44 × 24,357.30
  4. Step 4: Simplify right side
    83,521.63x = 3,051,541,536.45
  5. Step 5: Solve for x
    x = 3,051,541,536.45/83,521.63
  6. Step 6: Final answer
    x = 36,535.94

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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.