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Finding the Fourth Proportional to 98,757, 148,135.50 and 24,885

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Solution

The fourth proportional to 98,757, 148,135.50 and 24,885 is: 37,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,757 : 148,135.50 = 24,885 : x
  2. Step 2: Convert to fraction form
    98,757/148,135.50 = 24,885/x
  3. Step 3: Cross multiply
    98,757x = 148,135.50 × 24,885
  4. Step 4: Simplify right side
    98,757x = 3,686,351,917.50
  5. Step 5: Solve for x
    x = 3,686,351,917.50/98,757
  6. Step 6: Final answer
    x = 37,327.50

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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.