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Finding the Fourth Proportional to 119,671, 179,506.52 and 32,119

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Solution

The fourth proportional to 119,671, 179,506.52 and 32,119 is: 48,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,671 : 179,506.52 = 32,119 : x
  2. Step 2: Convert to fraction form
    119,671/179,506.52 = 32,119/x
  3. Step 3: Cross multiply
    119,671x = 179,506.52 × 32,119
  4. Step 4: Simplify right side
    119,671x = 5,765,569,915.88
  5. Step 5: Solve for x
    x = 5,765,569,915.88/119,671
  6. Step 6: Final answer
    x = 48,178.51

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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.