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Finding the Fourth Proportional to 30,988.68, 42,765.12 and 18,413.52

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Solution

The fourth proportional to 30,988.68, 42,765.12 and 18,413.52 is: 25,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988.68 : 42,765.12 = 18,413.52 : x
  2. Step 2: Convert to fraction form
    30,988.68/42,765.12 = 18,413.52/x
  3. Step 3: Cross multiply
    30,988.68x = 42,765.12 × 18,413.52
  4. Step 4: Simplify right side
    30,988.68x = 787,456,392.42
  5. Step 5: Solve for x
    x = 787,456,392.42/30,988.68
  6. Step 6: Final answer
    x = 25,411.10

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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.