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Finding the Fourth Proportional to 32,672.32, 49,016.67 and 9,298.75

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Solution

The fourth proportional to 32,672.32, 49,016.67 and 9,298.75 is: 13,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.32 : 49,016.67 = 9,298.75 : x
  2. Step 2: Convert to fraction form
    32,672.32/49,016.67 = 9,298.75/x
  3. Step 3: Cross multiply
    32,672.32x = 49,016.67 × 9,298.75
  4. Step 4: Simplify right side
    32,672.32x = 455,793,760.16
  5. Step 5: Solve for x
    x = 455,793,760.16/32,672.32
  6. Step 6: Final answer
    x = 13,950.46

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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.