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Finding the Fourth Proportional to 32,073, 48,109.38 and 8,699.40

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Solution

The fourth proportional to 32,073, 48,109.38 and 8,699.40 is: 13,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,073 : 48,109.38 = 8,699.40 : x
  2. Step 2: Convert to fraction form
    32,073/48,109.38 = 8,699.40/x
  3. Step 3: Cross multiply
    32,073x = 48,109.38 × 8,699.40
  4. Step 4: Simplify right side
    32,073x = 418,522,740.37
  5. Step 5: Solve for x
    x = 418,522,740.37/32,073
  6. Step 6: Final answer
    x = 13,049.07

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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.