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Finding the Fourth Proportional to 32,920.16, 49,388.34 and 9,546.26

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Solution

The fourth proportional to 32,920.16, 49,388.34 and 9,546.26 is: 14,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.16 : 49,388.34 = 9,546.26 : x
  2. Step 2: Convert to fraction form
    32,920.16/49,388.34 = 9,546.26/x
  3. Step 3: Cross multiply
    32,920.16x = 49,388.34 × 9,546.26
  4. Step 4: Simplify right side
    32,920.16x = 471,473,934.61
  5. Step 5: Solve for x
    x = 471,473,934.61/32,920.16
  6. Step 6: Final answer
    x = 14,321.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.