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Finding the Fourth Proportional to 41,143.14, 61,714.50 and 9,978.39

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Solution

The fourth proportional to 41,143.14, 61,714.50 and 9,978.39 is: 14,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.14 : 61,714.50 = 9,978.39 : x
  2. Step 2: Convert to fraction form
    41,143.14/61,714.50 = 9,978.39/x
  3. Step 3: Cross multiply
    41,143.14x = 61,714.50 × 9,978.39
  4. Step 4: Simplify right side
    41,143.14x = 615,811,349.66
  5. Step 5: Solve for x
    x = 615,811,349.66/41,143.14
  6. Step 6: Final answer
    x = 14,967.53

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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.