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Finding the Fourth Proportional to 32,405.84, 48,613.64 and 10,216.88

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Solution

The fourth proportional to 32,405.84, 48,613.64 and 10,216.88 is: 15,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.84 : 48,613.64 = 10,216.88 : x
  2. Step 2: Convert to fraction form
    32,405.84/48,613.64 = 10,216.88/x
  3. Step 3: Cross multiply
    32,405.84x = 48,613.64 × 10,216.88
  4. Step 4: Simplify right side
    32,405.84x = 496,679,726.24
  5. Step 5: Solve for x
    x = 496,679,726.24/32,405.84
  6. Step 6: Final answer
    x = 15,326.86

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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.