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Finding the Fourth Proportional to 32,432.77, 48,649.29 and 9,059.14

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Solution

The fourth proportional to 32,432.77, 48,649.29 and 9,059.14 is: 13,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.77 : 48,649.29 = 9,059.14 : x
  2. Step 2: Convert to fraction form
    32,432.77/48,649.29 = 9,059.14/x
  3. Step 3: Cross multiply
    32,432.77x = 48,649.29 × 9,059.14
  4. Step 4: Simplify right side
    32,432.77x = 440,720,729.01
  5. Step 5: Solve for x
    x = 440,720,729.01/32,432.77
  6. Step 6: Final answer
    x = 13,588.75

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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.