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Finding the Fourth Proportional to 32,496.68, 48,746.75 and 10,311.79

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Solution

The fourth proportional to 32,496.68, 48,746.75 and 10,311.79 is: 15,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496.68 : 48,746.75 = 10,311.79 : x
  2. Step 2: Convert to fraction form
    32,496.68/48,746.75 = 10,311.79/x
  3. Step 3: Cross multiply
    32,496.68x = 48,746.75 × 10,311.79
  4. Step 4: Simplify right side
    32,496.68x = 502,666,197.62
  5. Step 5: Solve for x
    x = 502,666,197.62/32,496.68
  6. Step 6: Final answer
    x = 15,468.23

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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.