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Finding the Fourth Proportional to 102,787.80, 154,206.24 and 32,667.24

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Solution

The fourth proportional to 102,787.80, 154,206.24 and 32,667.24 is: 49,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,787.80 : 154,206.24 = 32,667.24 : x
  2. Step 2: Convert to fraction form
    102,787.80/154,206.24 = 32,667.24/x
  3. Step 3: Cross multiply
    102,787.80x = 154,206.24 × 32,667.24
  4. Step 4: Simplify right side
    102,787.80x = 5,037,492,251.58
  5. Step 5: Solve for x
    x = 5,037,492,251.58/102,787.80
  6. Step 6: Final answer
    x = 49,008.66

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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.