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Finding the Fourth Proportional to 32,605.95, 48,911.64 and 10,422.48

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Solution

The fourth proportional to 32,605.95, 48,911.64 and 10,422.48 is: 15,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.95 : 48,911.64 = 10,422.48 : x
  2. Step 2: Convert to fraction form
    32,605.95/48,911.64 = 10,422.48/x
  3. Step 3: Cross multiply
    32,605.95x = 48,911.64 × 10,422.48
  4. Step 4: Simplify right side
    32,605.95x = 509,780,589.67
  5. Step 5: Solve for x
    x = 509,780,589.67/32,605.95
  6. Step 6: Final answer
    x = 15,634.59

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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.