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Finding the Fourth Proportional to 32,491.68, 48,724.84 and 9,995.65

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Solution

The fourth proportional to 32,491.68, 48,724.84 and 9,995.65 is: 14,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.68 : 48,724.84 = 9,995.65 : x
  2. Step 2: Convert to fraction form
    32,491.68/48,724.84 = 9,995.65/x
  3. Step 3: Cross multiply
    32,491.68x = 48,724.84 × 9,995.65
  4. Step 4: Simplify right side
    32,491.68x = 487,036,611.71
  5. Step 5: Solve for x
    x = 487,036,611.71/32,491.68
  6. Step 6: Final answer
    x = 14,989.58

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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.