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Finding the Fourth Proportional to 31,965.76, 47,954.00 and 9,773.93

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Solution

The fourth proportional to 31,965.76, 47,954.00 and 9,773.93 is: 14,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.76 : 47,954.00 = 9,773.93 : x
  2. Step 2: Convert to fraction form
    31,965.76/47,954.00 = 9,773.93/x
  3. Step 3: Cross multiply
    31,965.76x = 47,954.00 × 9,773.93
  4. Step 4: Simplify right side
    31,965.76x = 468,698,990.35
  5. Step 5: Solve for x
    x = 468,698,990.35/31,965.76
  6. Step 6: Final answer
    x = 14,662.53

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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.