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Finding the Fourth Proportional to 32,301.99, 48,462.71 and 10,117.71

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Solution

The fourth proportional to 32,301.99, 48,462.71 and 10,117.71 is: 15,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301.99 : 48,462.71 = 10,117.71 : x
  2. Step 2: Convert to fraction form
    32,301.99/48,462.71 = 10,117.71/x
  3. Step 3: Cross multiply
    32,301.99x = 48,462.71 × 10,117.71
  4. Step 4: Simplify right side
    32,301.99x = 490,331,595.01
  5. Step 5: Solve for x
    x = 490,331,595.01/32,301.99
  6. Step 6: Final answer
    x = 15,179.61

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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.