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Finding the Fourth Proportional to 32,772.70, 49,160.88 and 9,398.50

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Solution

The fourth proportional to 32,772.70, 49,160.88 and 9,398.50 is: 14,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.70 : 49,160.88 = 9,398.50 : x
  2. Step 2: Convert to fraction form
    32,772.70/49,160.88 = 9,398.50/x
  3. Step 3: Cross multiply
    32,772.70x = 49,160.88 × 9,398.50
  4. Step 4: Simplify right side
    32,772.70x = 462,038,530.68
  5. Step 5: Solve for x
    x = 462,038,530.68/32,772.70
  6. Step 6: Final answer
    x = 14,098.27

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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.