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Finding the Fourth Proportional to 30,286.60, 45,413.70 and 10,565.80

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Solution

The fourth proportional to 30,286.60, 45,413.70 and 10,565.80 is: 15,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.60 : 45,413.70 = 10,565.80 : x
  2. Step 2: Convert to fraction form
    30,286.60/45,413.70 = 10,565.80/x
  3. Step 3: Cross multiply
    30,286.60x = 45,413.70 × 10,565.80
  4. Step 4: Simplify right side
    30,286.60x = 479,832,071.46
  5. Step 5: Solve for x
    x = 479,832,071.46/30,286.60
  6. Step 6: Final answer
    x = 15,843.05

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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.