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Finding the Fourth Proportional to 87,093.46, 120,214.48 and 56,883.46

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Solution

The fourth proportional to 87,093.46, 120,214.48 and 56,883.46 is: 78,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,093.46 : 120,214.48 = 56,883.46 : x
  2. Step 2: Convert to fraction form
    87,093.46/120,214.48 = 56,883.46/x
  3. Step 3: Cross multiply
    87,093.46x = 120,214.48 × 56,883.46
  4. Step 4: Simplify right side
    87,093.46x = 6,838,215,564.50
  5. Step 5: Solve for x
    x = 6,838,215,564.50/87,093.46
  6. Step 6: Final answer
    x = 78,515.83

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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.