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Finding the Fourth Proportional to 48,083.69, 72,151.36 and 20,023.13

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Solution

The fourth proportional to 48,083.69, 72,151.36 and 20,023.13 is: 30,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,083.69 : 72,151.36 = 20,023.13 : x
  2. Step 2: Convert to fraction form
    48,083.69/72,151.36 = 20,023.13/x
  3. Step 3: Cross multiply
    48,083.69x = 72,151.36 × 20,023.13
  4. Step 4: Simplify right side
    48,083.69x = 1,444,696,191.28
  5. Step 5: Solve for x
    x = 1,444,696,191.28/48,083.69
  6. Step 6: Final answer
    x = 30,045.45

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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.