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Finding the Fourth Proportional to 100,551.84, 150,886.08 and 45,147.84

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Solution

The fourth proportional to 100,551.84, 150,886.08 and 45,147.84 is: 67,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551.84 : 150,886.08 = 45,147.84 : x
  2. Step 2: Convert to fraction form
    100,551.84/150,886.08 = 45,147.84/x
  3. Step 3: Cross multiply
    100,551.84x = 150,886.08 × 45,147.84
  4. Step 4: Simplify right side
    100,551.84x = 6,812,180,598.07
  5. Step 5: Solve for x
    x = 6,812,180,598.07/100,551.84
  6. Step 6: Final answer
    x = 67,747.95

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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.