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Finding the Fourth Proportional to 80,032.66, 110,442.10 and 44,221.93

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Solution

The fourth proportional to 80,032.66, 110,442.10 and 44,221.93 is: 61,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032.66 : 110,442.10 = 44,221.93 : x
  2. Step 2: Convert to fraction form
    80,032.66/110,442.10 = 44,221.93/x
  3. Step 3: Cross multiply
    80,032.66x = 110,442.10 × 44,221.93
  4. Step 4: Simplify right side
    80,032.66x = 4,883,962,041.93
  5. Step 5: Solve for x
    x = 4,883,962,041.93/80,032.66
  6. Step 6: Final answer
    x = 61,024.62

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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.