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Finding the Fourth Proportional to 85,607.20, 128,387.76 and 30,196

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Solution

The fourth proportional to 85,607.20, 128,387.76 and 30,196 is: 45,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,607.20 : 128,387.76 = 30,196 : x
  2. Step 2: Convert to fraction form
    85,607.20/128,387.76 = 30,196/x
  3. Step 3: Cross multiply
    85,607.20x = 128,387.76 × 30,196
  4. Step 4: Simplify right side
    85,607.20x = 3,876,796,800.96
  5. Step 5: Solve for x
    x = 3,876,796,800.96/85,607.20
  6. Step 6: Final answer
    x = 45,285.87

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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.