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Finding the Fourth Proportional to 99,203.82, 148,823.96 and 32,647.95

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Solution

The fourth proportional to 99,203.82, 148,823.96 and 32,647.95 is: 48,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,203.82 : 148,823.96 = 32,647.95 : x
  2. Step 2: Convert to fraction form
    99,203.82/148,823.96 = 32,647.95/x
  3. Step 3: Cross multiply
    99,203.82x = 148,823.96 × 32,647.95
  4. Step 4: Simplify right side
    99,203.82x = 4,858,797,041.64
  5. Step 5: Solve for x
    x = 4,858,797,041.64/99,203.82
  6. Step 6: Final answer
    x = 48,977.92

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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.