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Finding the Fourth Proportional to 31,071.97, 42,881.13 and 23,401.51

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Solution

The fourth proportional to 31,071.97, 42,881.13 and 23,401.51 is: 32,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.97 : 42,881.13 = 23,401.51 : x
  2. Step 2: Convert to fraction form
    31,071.97/42,881.13 = 23,401.51/x
  3. Step 3: Cross multiply
    31,071.97x = 42,881.13 × 23,401.51
  4. Step 4: Simplify right side
    31,071.97x = 1,003,483,192.51
  5. Step 5: Solve for x
    x = 1,003,483,192.51/31,071.97
  6. Step 6: Final answer
    x = 32,295.45

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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.