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Finding the Fourth Proportional to 31,565.54, 47,346.77 and 11,842.55

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Solution

The fourth proportional to 31,565.54, 47,346.77 and 11,842.55 is: 17,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.54 : 47,346.77 = 11,842.55 : x
  2. Step 2: Convert to fraction form
    31,565.54/47,346.77 = 11,842.55/x
  3. Step 3: Cross multiply
    31,565.54x = 47,346.77 × 11,842.55
  4. Step 4: Simplify right side
    31,565.54x = 560,706,491.06
  5. Step 5: Solve for x
    x = 560,706,491.06/31,565.54
  6. Step 6: Final answer
    x = 17,763.25

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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.