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Finding the Fourth Proportional to 31,895.57, 47,853.60 and 9,713.24

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Solution

The fourth proportional to 31,895.57, 47,853.60 and 9,713.24 is: 14,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895.57 : 47,853.60 = 9,713.24 : x
  2. Step 2: Convert to fraction form
    31,895.57/47,853.60 = 9,713.24/x
  3. Step 3: Cross multiply
    31,895.57x = 47,853.60 × 9,713.24
  4. Step 4: Simplify right side
    31,895.57x = 464,813,501.66
  5. Step 5: Solve for x
    x = 464,813,501.66/31,895.57
  6. Step 6: Final answer
    x = 14,572.98

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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.