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Finding the Fourth Proportional to 31,599.34, 47,398.98 and 9,413.02

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Solution

The fourth proportional to 31,599.34, 47,398.98 and 9,413.02 is: 14,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.34 : 47,398.98 = 9,413.02 : x
  2. Step 2: Convert to fraction form
    31,599.34/47,398.98 = 9,413.02/x
  3. Step 3: Cross multiply
    31,599.34x = 47,398.98 × 9,413.02
  4. Step 4: Simplify right side
    31,599.34x = 446,167,546.72
  5. Step 5: Solve for x
    x = 446,167,546.72/31,599.34
  6. Step 6: Final answer
    x = 14,119.52

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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.