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Finding the Fourth Proportional to 31,362.48, 47,045.16 and 10,586.16

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Solution

The fourth proportional to 31,362.48, 47,045.16 and 10,586.16 is: 15,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.48 : 47,045.16 = 10,586.16 : x
  2. Step 2: Convert to fraction form
    31,362.48/47,045.16 = 10,586.16/x
  3. Step 3: Cross multiply
    31,362.48x = 47,045.16 × 10,586.16
  4. Step 4: Simplify right side
    31,362.48x = 498,027,590.99
  5. Step 5: Solve for x
    x = 498,027,590.99/31,362.48
  6. Step 6: Final answer
    x = 15,879.73

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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.