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Finding the Fourth Proportional to 32,124.74, 48,197.73 and 20,264.82

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Solution

The fourth proportional to 32,124.74, 48,197.73 and 20,264.82 is: 30,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.74 : 48,197.73 = 20,264.82 : x
  2. Step 2: Convert to fraction form
    32,124.74/48,197.73 = 20,264.82/x
  3. Step 3: Cross multiply
    32,124.74x = 48,197.73 × 20,264.82
  4. Step 4: Simplify right side
    32,124.74x = 976,718,218.11
  5. Step 5: Solve for x
    x = 976,718,218.11/32,124.74
  6. Step 6: Final answer
    x = 30,403.93

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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.