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Finding the Fourth Proportional to 98,374, 135,756.12 and 53,662

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Solution

The fourth proportional to 98,374, 135,756.12 and 53,662 is: 74,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,374 : 135,756.12 = 53,662 : x
  2. Step 2: Convert to fraction form
    98,374/135,756.12 = 53,662/x
  3. Step 3: Cross multiply
    98,374x = 135,756.12 × 53,662
  4. Step 4: Simplify right side
    98,374x = 7,284,944,911.44
  5. Step 5: Solve for x
    x = 7,284,944,911.44/98,374
  6. Step 6: Final answer
    x = 74,053.56

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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.