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Finding the Fourth Proportional to 32,406.29, 48,612.05 and 9,921.90

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Solution

The fourth proportional to 32,406.29, 48,612.05 and 9,921.90 is: 14,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.29 : 48,612.05 = 9,921.90 : x
  2. Step 2: Convert to fraction form
    32,406.29/48,612.05 = 9,921.90/x
  3. Step 3: Cross multiply
    32,406.29x = 48,612.05 × 9,921.90
  4. Step 4: Simplify right side
    32,406.29x = 482,323,849.29
  5. Step 5: Solve for x
    x = 482,323,849.29/32,406.29
  6. Step 6: Final answer
    x = 14,883.65

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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.