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Finding the Fourth Proportional to 31,879.77, 47,825.46 and 10,533.71

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Solution

The fourth proportional to 31,879.77, 47,825.46 and 10,533.71 is: 15,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.77 : 47,825.46 = 10,533.71 : x
  2. Step 2: Convert to fraction form
    31,879.77/47,825.46 = 10,533.71/x
  3. Step 3: Cross multiply
    31,879.77x = 47,825.46 × 10,533.71
  4. Step 4: Simplify right side
    31,879.77x = 503,779,287.13
  5. Step 5: Solve for x
    x = 503,779,287.13/31,879.77
  6. Step 6: Final answer
    x = 15,802.48

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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.