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Finding the Fourth Proportional to 32,521.77, 48,786.66 and 9,148.23

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Solution

The fourth proportional to 32,521.77, 48,786.66 and 9,148.23 is: 13,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.77 : 48,786.66 = 9,148.23 : x
  2. Step 2: Convert to fraction form
    32,521.77/48,786.66 = 9,148.23/x
  3. Step 3: Cross multiply
    32,521.77x = 48,786.66 × 9,148.23
  4. Step 4: Simplify right side
    32,521.77x = 446,311,586.61
  5. Step 5: Solve for x
    x = 446,311,586.61/32,521.77
  6. Step 6: Final answer
    x = 13,723.47

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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.