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Finding the Fourth Proportional to 81,685.95, 112,713.38 and 51,055.43

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Solution

The fourth proportional to 81,685.95, 112,713.38 and 51,055.43 is: 70,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,685.95 : 112,713.38 = 51,055.43 : x
  2. Step 2: Convert to fraction form
    81,685.95/112,713.38 = 51,055.43/x
  3. Step 3: Cross multiply
    81,685.95x = 112,713.38 × 51,055.43
  4. Step 4: Simplify right side
    81,685.95x = 5,754,629,928.51
  5. Step 5: Solve for x
    x = 5,754,629,928.51/81,685.95
  6. Step 6: Final answer
    x = 70,448.23

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Why These Related Problems?

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