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Finding the Fourth Proportional to 32,406.89, 48,610.33 and 10,221.99

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Solution

The fourth proportional to 32,406.89, 48,610.33 and 10,221.99 is: 15,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.89 : 48,610.33 = 10,221.99 : x
  2. Step 2: Convert to fraction form
    32,406.89/48,610.33 = 10,221.99/x
  3. Step 3: Cross multiply
    32,406.89x = 48,610.33 × 10,221.99
  4. Step 4: Simplify right side
    32,406.89x = 496,894,307.16
  5. Step 5: Solve for x
    x = 496,894,307.16/32,406.89
  6. Step 6: Final answer
    x = 15,332.98

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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.