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Finding the Fourth Proportional to 31,473, 47,209.52 and 10,413.05

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Solution

The fourth proportional to 31,473, 47,209.52 and 10,413.05 is: 15,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473 : 47,209.52 = 10,413.05 : x
  2. Step 2: Convert to fraction form
    31,473/47,209.52 = 10,413.05/x
  3. Step 3: Cross multiply
    31,473x = 47,209.52 × 10,413.05
  4. Step 4: Simplify right side
    31,473x = 491,594,882.22
  5. Step 5: Solve for x
    x = 491,594,882.22/31,473
  6. Step 6: Final answer
    x = 15,619.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.