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Finding the Fourth Proportional to 32,529.84, 48,794.78 and 9,156.28

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Solution

The fourth proportional to 32,529.84, 48,794.78 and 9,156.28 is: 13,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529.84 : 48,794.78 = 9,156.28 : x
  2. Step 2: Convert to fraction form
    32,529.84/48,794.78 = 9,156.28/x
  3. Step 3: Cross multiply
    32,529.84x = 48,794.78 × 9,156.28
  4. Step 4: Simplify right side
    32,529.84x = 446,778,378.46
  5. Step 5: Solve for x
    x = 446,778,378.46/32,529.84
  6. Step 6: Final answer
    x = 13,734.42

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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.