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Finding the Fourth Proportional to 32,023.76, 48,023.16 and 12,026.96

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Solution

The fourth proportional to 32,023.76, 48,023.16 and 12,026.96 is: 18,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.76 : 48,023.16 = 12,026.96 : x
  2. Step 2: Convert to fraction form
    32,023.76/48,023.16 = 12,026.96/x
  3. Step 3: Cross multiply
    32,023.76x = 48,023.16 × 12,026.96
  4. Step 4: Simplify right side
    32,023.76x = 577,572,624.39
  5. Step 5: Solve for x
    x = 577,572,624.39/32,023.76
  6. Step 6: Final answer
    x = 18,035.75

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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.