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Finding the Fourth Proportional to 32,493.92, 48,742.61 and 10,309.07

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Solution

The fourth proportional to 32,493.92, 48,742.61 and 10,309.07 is: 15,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.92 : 48,742.61 = 10,309.07 : x
  2. Step 2: Convert to fraction form
    32,493.92/48,742.61 = 10,309.07/x
  3. Step 3: Cross multiply
    32,493.92x = 48,742.61 × 10,309.07
  4. Step 4: Simplify right side
    32,493.92x = 502,490,683.21
  5. Step 5: Solve for x
    x = 502,490,683.21/32,493.92
  6. Step 6: Final answer
    x = 15,464.15

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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.