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Finding the Fourth Proportional to 98,692.42, 148,037.25 and 23,811.93

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Solution

The fourth proportional to 98,692.42, 148,037.25 and 23,811.93 is: 35,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,692.42 : 148,037.25 = 23,811.93 : x
  2. Step 2: Convert to fraction form
    98,692.42/148,037.25 = 23,811.93/x
  3. Step 3: Cross multiply
    98,692.42x = 148,037.25 × 23,811.93
  4. Step 4: Simplify right side
    98,692.42x = 3,525,052,634.39
  5. Step 5: Solve for x
    x = 3,525,052,634.39/98,692.42
  6. Step 6: Final answer
    x = 35,717.56

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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.