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Finding the Fourth Proportional to 73,114.94, 109,713.39 and 39,837.32

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Solution

The fourth proportional to 73,114.94, 109,713.39 and 39,837.32 is: 59,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.94 : 109,713.39 = 39,837.32 : x
  2. Step 2: Convert to fraction form
    73,114.94/109,713.39 = 39,837.32/x
  3. Step 3: Cross multiply
    73,114.94x = 109,713.39 × 39,837.32
  4. Step 4: Simplify right side
    73,114.94x = 4,370,687,425.71
  5. Step 5: Solve for x
    x = 4,370,687,425.71/73,114.94
  6. Step 6: Final answer
    x = 59,778.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.