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Finding the Fourth Proportional to 31,894.66, 47,825.91 and 9,703.78

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Solution

The fourth proportional to 31,894.66, 47,825.91 and 9,703.78 is: 14,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.66 : 47,825.91 = 9,703.78 : x
  2. Step 2: Convert to fraction form
    31,894.66/47,825.91 = 9,703.78/x
  3. Step 3: Cross multiply
    31,894.66x = 47,825.91 × 9,703.78
  4. Step 4: Simplify right side
    31,894.66x = 464,092,108.94
  5. Step 5: Solve for x
    x = 464,092,108.94/31,894.66
  6. Step 6: Final answer
    x = 14,550.78

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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.