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Finding the Fourth Proportional to 32,138.70, 48,210.29 and 9,949.15

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Solution

The fourth proportional to 32,138.70, 48,210.29 and 9,949.15 is: 14,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.70 : 48,210.29 = 9,949.15 : x
  2. Step 2: Convert to fraction form
    32,138.70/48,210.29 = 9,949.15/x
  3. Step 3: Cross multiply
    32,138.70x = 48,210.29 × 9,949.15
  4. Step 4: Simplify right side
    32,138.70x = 479,651,406.75
  5. Step 5: Solve for x
    x = 479,651,406.75/32,138.70
  6. Step 6: Final answer
    x = 14,924.42

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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.