Home / 31,827-43,921.29-17,681.16

Finding the Fourth Proportional to 31,827, 43,921.29 and 17,681.16

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Solution

The fourth proportional to 31,827, 43,921.29 and 17,681.16 is: 24,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827 : 43,921.29 = 17,681.16 : x
  2. Step 2: Convert to fraction form
    31,827/43,921.29 = 17,681.16/x
  3. Step 3: Cross multiply
    31,827x = 43,921.29 × 17,681.16
  4. Step 4: Simplify right side
    31,827x = 776,579,355.90
  5. Step 5: Solve for x
    x = 776,579,355.90/31,827
  6. Step 6: Final answer
    x = 24,400.02

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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.