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Finding the Fourth Proportional to 31,873.32, 47,810.16 and 11,887.29

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Solution

The fourth proportional to 31,873.32, 47,810.16 and 11,887.29 is: 17,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.32 : 47,810.16 = 11,887.29 : x
  2. Step 2: Convert to fraction form
    31,873.32/47,810.16 = 11,887.29/x
  3. Step 3: Cross multiply
    31,873.32x = 47,810.16 × 11,887.29
  4. Step 4: Simplify right side
    31,873.32x = 568,333,236.87
  5. Step 5: Solve for x
    x = 568,333,236.87/31,873.32
  6. Step 6: Final answer
    x = 17,831.00

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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.