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Finding the Fourth Proportional to 31,903.36, 47,840.16 and 17,108.80

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Solution

The fourth proportional to 31,903.36, 47,840.16 and 17,108.80 is: 25,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.36 : 47,840.16 = 17,108.80 : x
  2. Step 2: Convert to fraction form
    31,903.36/47,840.16 = 17,108.80/x
  3. Step 3: Cross multiply
    31,903.36x = 47,840.16 × 17,108.80
  4. Step 4: Simplify right side
    31,903.36x = 818,487,729.41
  5. Step 5: Solve for x
    x = 818,487,729.41/31,903.36
  6. Step 6: Final answer
    x = 25,655.22

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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.