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Finding the Fourth Proportional to 70,852.88, 106,286.52 and 24,109.04

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Solution

The fourth proportional to 70,852.88, 106,286.52 and 24,109.04 is: 36,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.88 : 106,286.52 = 24,109.04 : x
  2. Step 2: Convert to fraction form
    70,852.88/106,286.52 = 24,109.04/x
  3. Step 3: Cross multiply
    70,852.88x = 106,286.52 × 24,109.04
  4. Step 4: Simplify right side
    70,852.88x = 2,562,465,962.14
  5. Step 5: Solve for x
    x = 2,562,465,962.14/70,852.88
  6. Step 6: Final answer
    x = 36,166.01

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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.