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Finding the Fourth Proportional to 32,396.86, 48,595.29 and 9,023.23

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Solution

The fourth proportional to 32,396.86, 48,595.29 and 9,023.23 is: 13,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.86 : 48,595.29 = 9,023.23 : x
  2. Step 2: Convert to fraction form
    32,396.86/48,595.29 = 9,023.23/x
  3. Step 3: Cross multiply
    32,396.86x = 48,595.29 × 9,023.23
  4. Step 4: Simplify right side
    32,396.86x = 438,486,478.59
  5. Step 5: Solve for x
    x = 438,486,478.59/32,396.86
  6. Step 6: Final answer
    x = 13,534.85

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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.