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Finding the Fourth Proportional to 32,529.46, 48,794.16 and 7,905.46

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Solution

The fourth proportional to 32,529.46, 48,794.16 and 7,905.46 is: 11,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529.46 : 48,794.16 = 7,905.46 : x
  2. Step 2: Convert to fraction form
    32,529.46/48,794.16 = 7,905.46/x
  3. Step 3: Cross multiply
    32,529.46x = 48,794.16 × 7,905.46
  4. Step 4: Simplify right side
    32,529.46x = 385,740,280.11
  5. Step 5: Solve for x
    x = 385,740,280.11/32,529.46
  6. Step 6: Final answer
    x = 11,858.18

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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.