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Finding the Fourth Proportional to 89,105.29, 122,965.30 and 48,820.58

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Solution

The fourth proportional to 89,105.29, 122,965.30 and 48,820.58 is: 67,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,105.29 : 122,965.30 = 48,820.58 : x
  2. Step 2: Convert to fraction form
    89,105.29/122,965.30 = 48,820.58/x
  3. Step 3: Cross multiply
    89,105.29x = 122,965.30 × 48,820.58
  4. Step 4: Simplify right side
    89,105.29x = 6,003,237,265.87
  5. Step 5: Solve for x
    x = 6,003,237,265.87/89,105.29
  6. Step 6: Final answer
    x = 67,372.40

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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.