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Finding the Fourth Proportional to 32,689.60, 49,036.22 and 9,314.22

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Solution

The fourth proportional to 32,689.60, 49,036.22 and 9,314.22 is: 13,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.60 : 49,036.22 = 9,314.22 : x
  2. Step 2: Convert to fraction form
    32,689.60/49,036.22 = 9,314.22/x
  3. Step 3: Cross multiply
    32,689.60x = 49,036.22 × 9,314.22
  4. Step 4: Simplify right side
    32,689.60x = 456,734,141.05
  5. Step 5: Solve for x
    x = 456,734,141.05/32,689.60
  6. Step 6: Final answer
    x = 13,971.85

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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.