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Finding the Fourth Proportional to 77,333.70, 106,771.92 and 59,396.64

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Solution

The fourth proportional to 77,333.70, 106,771.92 and 59,396.64 is: 82,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.70 : 106,771.92 = 59,396.64 : x
  2. Step 2: Convert to fraction form
    77,333.70/106,771.92 = 59,396.64/x
  3. Step 3: Cross multiply
    77,333.70x = 106,771.92 × 59,396.64
  4. Step 4: Simplify right side
    77,333.70x = 6,341,893,294.35
  5. Step 5: Solve for x
    x = 6,341,893,294.35/77,333.70
  6. Step 6: Final answer
    x = 82,006.85

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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.