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Finding the Fourth Proportional to 40,974.86, 61,455.10 and 11,395

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Solution

The fourth proportional to 40,974.86, 61,455.10 and 11,395 is: 17,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,974.86 : 61,455.10 = 11,395 : x
  2. Step 2: Convert to fraction form
    40,974.86/61,455.10 = 11,395/x
  3. Step 3: Cross multiply
    40,974.86x = 61,455.10 × 11,395
  4. Step 4: Simplify right side
    40,974.86x = 700,280,864.50
  5. Step 5: Solve for x
    x = 700,280,864.50/40,974.86
  6. Step 6: Final answer
    x = 17,090.50

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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.