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Finding the Fourth Proportional to 31,774.25, 47,661.72 and 9,587.82

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Solution

The fourth proportional to 31,774.25, 47,661.72 and 9,587.82 is: 14,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.25 : 47,661.72 = 9,587.82 : x
  2. Step 2: Convert to fraction form
    31,774.25/47,661.72 = 9,587.82/x
  3. Step 3: Cross multiply
    31,774.25x = 47,661.72 × 9,587.82
  4. Step 4: Simplify right side
    31,774.25x = 456,972,135.03
  5. Step 5: Solve for x
    x = 456,972,135.03/31,774.25
  6. Step 6: Final answer
    x = 14,381.84

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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.