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Finding the Fourth Proportional to 32,329.78, 48,494.54 and 8,956.14

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Solution

The fourth proportional to 32,329.78, 48,494.54 and 8,956.14 is: 13,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.78 : 48,494.54 = 8,956.14 : x
  2. Step 2: Convert to fraction form
    32,329.78/48,494.54 = 8,956.14/x
  3. Step 3: Cross multiply
    32,329.78x = 48,494.54 × 8,956.14
  4. Step 4: Simplify right side
    32,329.78x = 434,323,889.48
  5. Step 5: Solve for x
    x = 434,323,889.48/32,329.78
  6. Step 6: Final answer
    x = 13,434.17

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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.