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Finding the Fourth Proportional to 31,575.36, 47,346.56 and 9,385.68

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Solution

The fourth proportional to 31,575.36, 47,346.56 and 9,385.68 is: 14,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.36 : 47,346.56 = 9,385.68 : x
  2. Step 2: Convert to fraction form
    31,575.36/47,346.56 = 9,385.68/x
  3. Step 3: Cross multiply
    31,575.36x = 47,346.56 × 9,385.68
  4. Step 4: Simplify right side
    31,575.36x = 444,379,661.26
  5. Step 5: Solve for x
    x = 444,379,661.26/31,575.36
  6. Step 6: Final answer
    x = 14,073.62

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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.