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Finding the Fourth Proportional to 30,488.28, 42,023.50 and 20,413.16

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Solution

The fourth proportional to 30,488.28, 42,023.50 and 20,413.16 is: 28,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.28 : 42,023.50 = 20,413.16 : x
  2. Step 2: Convert to fraction form
    30,488.28/42,023.50 = 20,413.16/x
  3. Step 3: Cross multiply
    30,488.28x = 42,023.50 × 20,413.16
  4. Step 4: Simplify right side
    30,488.28x = 857,832,429.26
  5. Step 5: Solve for x
    x = 857,832,429.26/30,488.28
  6. Step 6: Final answer
    x = 28,136.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.