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Finding the Fourth Proportional to 31,830, 43,921.44 and 17,681.04

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Solution

The fourth proportional to 31,830, 43,921.44 and 17,681.04 is: 24,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830 : 43,921.44 = 17,681.04 : x
  2. Step 2: Convert to fraction form
    31,830/43,921.44 = 17,681.04/x
  3. Step 3: Cross multiply
    31,830x = 43,921.44 × 17,681.04
  4. Step 4: Simplify right side
    31,830x = 776,576,737.50
  5. Step 5: Solve for x
    x = 776,576,737.50/31,830
  6. Step 6: Final answer
    x = 24,397.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.