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Finding the Fourth Proportional to 70,851.57, 97,774.36 and 39,019.78

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Solution

The fourth proportional to 70,851.57, 97,774.36 and 39,019.78 is: 53,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851.57 : 97,774.36 = 39,019.78 : x
  2. Step 2: Convert to fraction form
    70,851.57/97,774.36 = 39,019.78/x
  3. Step 3: Cross multiply
    70,851.57x = 97,774.36 × 39,019.78
  4. Step 4: Simplify right side
    70,851.57x = 3,815,134,016.84
  5. Step 5: Solve for x
    x = 3,815,134,016.84/70,851.57
  6. Step 6: Final answer
    x = 53,846.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.