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Finding the Fourth Proportional to 23,527.87, 32,257.95 and 23,106.87

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Solution

The fourth proportional to 23,527.87, 32,257.95 and 23,106.87 is: 31,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.87 : 32,257.95 = 23,106.87 : x
  2. Step 2: Convert to fraction form
    23,527.87/32,257.95 = 23,106.87/x
  3. Step 3: Cross multiply
    23,527.87x = 32,257.95 × 23,106.87
  4. Step 4: Simplify right side
    23,527.87x = 745,380,170.47
  5. Step 5: Solve for x
    x = 745,380,170.47/23,527.87
  6. Step 6: Final answer
    x = 31,680.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.