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Finding the Fourth Proportional to 31,590.95, 47,391.55 and 11,871.09

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Solution

The fourth proportional to 31,590.95, 47,391.55 and 11,871.09 is: 17,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.95 : 47,391.55 = 11,871.09 : x
  2. Step 2: Convert to fraction form
    31,590.95/47,391.55 = 11,871.09/x
  3. Step 3: Cross multiply
    31,590.95x = 47,391.55 × 11,871.09
  4. Step 4: Simplify right side
    31,590.95x = 562,589,325.61
  5. Step 5: Solve for x
    x = 562,589,325.61/31,590.95
  6. Step 6: Final answer
    x = 17,808.56

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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.