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Finding the Fourth Proportional to 132,014.04, 198,019.26 and 32,175

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Solution

The fourth proportional to 132,014.04, 198,019.26 and 32,175 is: 48,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,014.04 : 198,019.26 = 32,175 : x
  2. Step 2: Convert to fraction form
    132,014.04/198,019.26 = 32,175/x
  3. Step 3: Cross multiply
    132,014.04x = 198,019.26 × 32,175
  4. Step 4: Simplify right side
    132,014.04x = 6,371,269,690.50
  5. Step 5: Solve for x
    x = 6,371,269,690.50/132,014.04
  6. Step 6: Final answer
    x = 48,262.06

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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.