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Finding the Fourth Proportional to 32,531.84, 48,797.78 and 9,158.28

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Solution

The fourth proportional to 32,531.84, 48,797.78 and 9,158.28 is: 13,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531.84 : 48,797.78 = 9,158.28 : x
  2. Step 2: Convert to fraction form
    32,531.84/48,797.78 = 9,158.28/x
  3. Step 3: Cross multiply
    32,531.84x = 48,797.78 × 9,158.28
  4. Step 4: Simplify right side
    32,531.84x = 446,903,732.62
  5. Step 5: Solve for x
    x = 446,903,732.62/32,531.84
  6. Step 6: Final answer
    x = 13,737.43

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1.5x scale

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.