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Finding the Fourth Proportional to 77,138.45, 106,460.92 and 43,148.82

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Solution

The fourth proportional to 77,138.45, 106,460.92 and 43,148.82 is: 59,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.45 : 106,460.92 = 43,148.82 : x
  2. Step 2: Convert to fraction form
    77,138.45/106,460.92 = 43,148.82/x
  3. Step 3: Cross multiply
    77,138.45x = 106,460.92 × 43,148.82
  4. Step 4: Simplify right side
    77,138.45x = 4,593,663,074.11
  5. Step 5: Solve for x
    x = 4,593,663,074.11/77,138.45
  6. Step 6: Final answer
    x = 59,550.89

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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.