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Finding the Fourth Proportional to 75,397.75, 112,924.32 and 35,982.54

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Solution

The fourth proportional to 75,397.75, 112,924.32 and 35,982.54 is: 53,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,397.75 : 112,924.32 = 35,982.54 : x
  2. Step 2: Convert to fraction form
    75,397.75/112,924.32 = 35,982.54/x
  3. Step 3: Cross multiply
    75,397.75x = 112,924.32 × 35,982.54
  4. Step 4: Simplify right side
    75,397.75x = 4,063,303,681.46
  5. Step 5: Solve for x
    x = 4,063,303,681.46/75,397.75
  6. Step 6: Final answer
    x = 53,891.58

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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.