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Finding the Fourth Proportional to 31,852.88, 47,510.57 and 27,659.92

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Solution

The fourth proportional to 31,852.88, 47,510.57 and 27,659.92 is: 41,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.88 : 47,510.57 = 27,659.92 : x
  2. Step 2: Convert to fraction form
    31,852.88/47,510.57 = 27,659.92/x
  3. Step 3: Cross multiply
    31,852.88x = 47,510.57 × 27,659.92
  4. Step 4: Simplify right side
    31,852.88x = 1,314,138,412.00
  5. Step 5: Solve for x
    x = 1,314,138,412.00/31,852.88
  6. Step 6: Final answer
    x = 41,256.50

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.