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Finding the Fourth Proportional to 31,403.08, 47,111.11 and 10,344.41

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Solution

The fourth proportional to 31,403.08, 47,111.11 and 10,344.41 is: 15,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.08 : 47,111.11 = 10,344.41 : x
  2. Step 2: Convert to fraction form
    31,403.08/47,111.11 = 10,344.41/x
  3. Step 3: Cross multiply
    31,403.08x = 47,111.11 × 10,344.41
  4. Step 4: Simplify right side
    31,403.08x = 487,336,454.50
  5. Step 5: Solve for x
    x = 487,336,454.50/31,403.08
  6. Step 6: Final answer
    x = 15,518.75

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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.