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Finding the Fourth Proportional to 70,853.57, 97,777.12 and 39,021.78

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Solution

The fourth proportional to 70,853.57, 97,777.12 and 39,021.78 is: 53,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.57 : 97,777.12 = 39,021.78 : x
  2. Step 2: Convert to fraction form
    70,853.57/97,777.12 = 39,021.78/x
  3. Step 3: Cross multiply
    70,853.57x = 97,777.12 × 39,021.78
  4. Step 4: Simplify right side
    70,853.57x = 3,815,437,265.67
  5. Step 5: Solve for x
    x = 3,815,437,265.67/70,853.57
  6. Step 6: Final answer
    x = 53,849.61

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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.