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Finding the Fourth Proportional to 31,590.54, 47,369.97 and 10,523.18

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Solution

The fourth proportional to 31,590.54, 47,369.97 and 10,523.18 is: 15,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.54 : 47,369.97 = 10,523.18 : x
  2. Step 2: Convert to fraction form
    31,590.54/47,369.97 = 10,523.18/x
  3. Step 3: Cross multiply
    31,590.54x = 47,369.97 × 10,523.18
  4. Step 4: Simplify right side
    31,590.54x = 498,482,839.33
  5. Step 5: Solve for x
    x = 498,482,839.33/31,590.54
  6. Step 6: Final answer
    x = 15,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.