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Finding the Fourth Proportional to 32,656.65, 48,989.30 and 10,462.65

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Solution

The fourth proportional to 32,656.65, 48,989.30 and 10,462.65 is: 15,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.65 : 48,989.30 = 10,462.65 : x
  2. Step 2: Convert to fraction form
    32,656.65/48,989.30 = 10,462.65/x
  3. Step 3: Cross multiply
    32,656.65x = 48,989.30 × 10,462.65
  4. Step 4: Simplify right side
    32,656.65x = 512,557,847.33
  5. Step 5: Solve for x
    x = 512,557,847.33/32,656.65
  6. Step 6: Final answer
    x = 15,695.36

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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.