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Finding the Fourth Proportional to 70,873.84, 106,278.36 and 24,114.16

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Solution

The fourth proportional to 70,873.84, 106,278.36 and 24,114.16 is: 36,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,873.84 : 106,278.36 = 24,114.16 : x
  2. Step 2: Convert to fraction form
    70,873.84/106,278.36 = 24,114.16/x
  3. Step 3: Cross multiply
    70,873.84x = 106,278.36 × 24,114.16
  4. Step 4: Simplify right side
    70,873.84x = 2,562,813,377.58
  5. Step 5: Solve for x
    x = 2,562,813,377.58/70,873.84
  6. Step 6: Final answer
    x = 36,160.22

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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.