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Finding the Fourth Proportional to 31,565.34, 47,346.16 and 11,842.25

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Solution

The fourth proportional to 31,565.34, 47,346.16 and 11,842.25 is: 17,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.34 : 47,346.16 = 11,842.25 : x
  2. Step 2: Convert to fraction form
    31,565.34/47,346.16 = 11,842.25/x
  3. Step 3: Cross multiply
    31,565.34x = 47,346.16 × 11,842.25
  4. Step 4: Simplify right side
    31,565.34x = 560,685,063.26
  5. Step 5: Solve for x
    x = 560,685,063.26/31,565.34
  6. Step 6: Final answer
    x = 17,762.68

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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.