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Finding the Fourth Proportional to 40,971.52, 61,455.04 and 20,188

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Solution

The fourth proportional to 40,971.52, 61,455.04 and 20,188 is: 30,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971.52 : 61,455.04 = 20,188 : x
  2. Step 2: Convert to fraction form
    40,971.52/61,455.04 = 20,188/x
  3. Step 3: Cross multiply
    40,971.52x = 61,455.04 × 20,188
  4. Step 4: Simplify right side
    40,971.52x = 1,240,654,347.52
  5. Step 5: Solve for x
    x = 1,240,654,347.52/40,971.52
  6. Step 6: Final answer
    x = 30,280.90

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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.