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Finding the Fourth Proportional to 32,158.10, 48,233.05 and 9,971.67

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Solution

The fourth proportional to 32,158.10, 48,233.05 and 9,971.67 is: 14,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158.10 : 48,233.05 = 9,971.67 : x
  2. Step 2: Convert to fraction form
    32,158.10/48,233.05 = 9,971.67/x
  3. Step 3: Cross multiply
    32,158.10x = 48,233.05 × 9,971.67
  4. Step 4: Simplify right side
    32,158.10x = 480,964,057.69
  5. Step 5: Solve for x
    x = 480,964,057.69/32,158.10
  6. Step 6: Final answer
    x = 14,956.23

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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.