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Finding the Fourth Proportional to 80,014, 110,419.32 and 44,686

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Solution

The fourth proportional to 80,014, 110,419.32 and 44,686 is: 61,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014 : 110,419.32 = 44,686 : x
  2. Step 2: Convert to fraction form
    80,014/110,419.32 = 44,686/x
  3. Step 3: Cross multiply
    80,014x = 110,419.32 × 44,686
  4. Step 4: Simplify right side
    80,014x = 4,934,197,733.52
  5. Step 5: Solve for x
    x = 4,934,197,733.52/80,014
  6. Step 6: Final answer
    x = 61,666.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.