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Finding the Fourth Proportional to 98,737.80, 148,124.52 and 32,172

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Solution

The fourth proportional to 98,737.80, 148,124.52 and 32,172 is: 48,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,737.80 : 148,124.52 = 32,172 : x
  2. Step 2: Convert to fraction form
    98,737.80/148,124.52 = 32,172/x
  3. Step 3: Cross multiply
    98,737.80x = 148,124.52 × 32,172
  4. Step 4: Simplify right side
    98,737.80x = 4,765,462,057.44
  5. Step 5: Solve for x
    x = 4,765,462,057.44/98,737.80
  6. Step 6: Final answer
    x = 48,263.81

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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.