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Finding the Fourth Proportional to 99,135.68, 148,726.92 and 32,576

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Solution

The fourth proportional to 99,135.68, 148,726.92 and 32,576 is: 48,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135.68 : 148,726.92 = 32,576 : x
  2. Step 2: Convert to fraction form
    99,135.68/148,726.92 = 32,576/x
  3. Step 3: Cross multiply
    99,135.68x = 148,726.92 × 32,576
  4. Step 4: Simplify right side
    99,135.68x = 4,844,928,145.92
  5. Step 5: Solve for x
    x = 4,844,928,145.92/99,135.68
  6. Step 6: Final answer
    x = 48,871.69

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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.