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Finding the Fourth Proportional to 70,953.84, 106,441.68 and 24,195.78

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Solution

The fourth proportional to 70,953.84, 106,441.68 and 24,195.78 is: 36,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,953.84 : 106,441.68 = 24,195.78 : x
  2. Step 2: Convert to fraction form
    70,953.84/106,441.68 = 24,195.78/x
  3. Step 3: Cross multiply
    70,953.84x = 106,441.68 × 24,195.78
  4. Step 4: Simplify right side
    70,953.84x = 2,575,439,472.11
  5. Step 5: Solve for x
    x = 2,575,439,472.11/70,953.84
  6. Step 6: Final answer
    x = 36,297.39

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1.5x scale

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.