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Finding the Fourth Proportional to 75,097.56, 112,792.14 and 55,297.92

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Solution

The fourth proportional to 75,097.56, 112,792.14 and 55,297.92 is: 83,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097.56 : 112,792.14 = 55,297.92 : x
  2. Step 2: Convert to fraction form
    75,097.56/112,792.14 = 55,297.92/x
  3. Step 3: Cross multiply
    75,097.56x = 112,792.14 × 55,297.92
  4. Step 4: Simplify right side
    75,097.56x = 6,237,170,734.35
  5. Step 5: Solve for x
    x = 6,237,170,734.35/75,097.56
  6. Step 6: Final answer
    x = 83,054.24

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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.