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Finding the Fourth Proportional to 32,689.89, 49,043.07 and 9,316.26

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Solution

The fourth proportional to 32,689.89, 49,043.07 and 9,316.26 is: 13,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.89 : 49,043.07 = 9,316.26 : x
  2. Step 2: Convert to fraction form
    32,689.89/49,043.07 = 9,316.26/x
  3. Step 3: Cross multiply
    32,689.89x = 49,043.07 × 9,316.26
  4. Step 4: Simplify right side
    32,689.89x = 456,897,991.32
  5. Step 5: Solve for x
    x = 456,897,991.32/32,689.89
  6. Step 6: Final answer
    x = 13,976.74

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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.