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Finding the Fourth Proportional to 32,406.89, 48,610.73 and 9,031.91

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Solution

The fourth proportional to 32,406.89, 48,610.73 and 9,031.91 is: 13,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.89 : 48,610.73 = 9,031.91 : x
  2. Step 2: Convert to fraction form
    32,406.89/48,610.73 = 9,031.91/x
  3. Step 3: Cross multiply
    32,406.89x = 48,610.73 × 9,031.91
  4. Step 4: Simplify right side
    32,406.89x = 439,047,517.92
  5. Step 5: Solve for x
    x = 439,047,517.92/32,406.89
  6. Step 6: Final answer
    x = 13,547.97

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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.