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Finding the Fourth Proportional to 30,595.22, 45,894.17 and 8,410.78

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Solution

The fourth proportional to 30,595.22, 45,894.17 and 8,410.78 is: 12,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.22 : 45,894.17 = 8,410.78 : x
  2. Step 2: Convert to fraction form
    30,595.22/45,894.17 = 8,410.78/x
  3. Step 3: Cross multiply
    30,595.22x = 45,894.17 × 8,410.78
  4. Step 4: Simplify right side
    30,595.22x = 386,005,767.15
  5. Step 5: Solve for x
    x = 386,005,767.15/30,595.22
  6. Step 6: Final answer
    x = 12,616.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.