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Finding the Fourth Proportional to 31,590.72, 47,352.78 and 10,525.14

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Solution

The fourth proportional to 31,590.72, 47,352.78 and 10,525.14 is: 15,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.72 : 47,352.78 = 10,525.14 : x
  2. Step 2: Convert to fraction form
    31,590.72/47,352.78 = 10,525.14/x
  3. Step 3: Cross multiply
    31,590.72x = 47,352.78 × 10,525.14
  4. Step 4: Simplify right side
    31,590.72x = 498,394,638.89
  5. Step 5: Solve for x
    x = 498,394,638.89/31,590.72
  6. Step 6: Final answer
    x = 15,776.62

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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.