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Finding the Fourth Proportional to 32,480.77, 48,722.53 and 10,293.66

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Solution

The fourth proportional to 32,480.77, 48,722.53 and 10,293.66 is: 15,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.77 : 48,722.53 = 10,293.66 : x
  2. Step 2: Convert to fraction form
    32,480.77/48,722.53 = 10,293.66/x
  3. Step 3: Cross multiply
    32,480.77x = 48,722.53 × 10,293.66
  4. Step 4: Simplify right side
    32,480.77x = 501,533,014.69
  5. Step 5: Solve for x
    x = 501,533,014.69/32,480.77
  6. Step 6: Final answer
    x = 15,440.92

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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.