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Finding the Fourth Proportional to 32,702, 49,053.46 and 9,328.44

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Solution

The fourth proportional to 32,702, 49,053.46 and 9,328.44 is: 13,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702 : 49,053.46 = 9,328.44 : x
  2. Step 2: Convert to fraction form
    32,702/49,053.46 = 9,328.44/x
  3. Step 3: Cross multiply
    32,702x = 49,053.46 × 9,328.44
  4. Step 4: Simplify right side
    32,702x = 457,592,258.40
  5. Step 5: Solve for x
    x = 457,592,258.40/32,702
  6. Step 6: Final answer
    x = 13,992.79

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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.