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Finding the Fourth Proportional to 31,718, 47,577 and 9,830

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Solution

The fourth proportional to 31,718, 47,577 and 9,830 is: 14,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718 : 47,577 = 9,830 : x
  2. Step 2: Convert to fraction form
    31,718/47,577 = 9,830/x
  3. Step 3: Cross multiply
    31,718x = 47,577 × 9,830
  4. Step 4: Simplify right side
    31,718x = 467,681,910
  5. Step 5: Solve for x
    x = 467,681,910/31,718
  6. Step 6: Final answer
    x = 14,745

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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.