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Finding the Fourth Proportional to 81,447.40, 112,381.34 and 51,215.16

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Solution

The fourth proportional to 81,447.40, 112,381.34 and 51,215.16 is: 70,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447.40 : 112,381.34 = 51,215.16 : x
  2. Step 2: Convert to fraction form
    81,447.40/112,381.34 = 51,215.16/x
  3. Step 3: Cross multiply
    81,447.40x = 112,381.34 × 51,215.16
  4. Step 4: Simplify right side
    81,447.40x = 5,755,628,309.11
  5. Step 5: Solve for x
    x = 5,755,628,309.11/81,447.40
  6. Step 6: Final answer
    x = 70,666.81

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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.