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Finding the Fourth Proportional to 70,824.84, 106,248.15 and 24,066.78

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Solution

The fourth proportional to 70,824.84, 106,248.15 and 24,066.78 is: 36,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824.84 : 106,248.15 = 24,066.78 : x
  2. Step 2: Convert to fraction form
    70,824.84/106,248.15 = 24,066.78/x
  3. Step 3: Cross multiply
    70,824.84x = 106,248.15 × 24,066.78
  4. Step 4: Simplify right side
    70,824.84x = 2,557,050,851.46
  5. Step 5: Solve for x
    x = 2,557,050,851.46/70,824.84
  6. Step 6: Final answer
    x = 36,103.87

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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.