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Finding the Fourth Proportional to 77,678.37, 107,186.73 and 43,214.95

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Solution

The fourth proportional to 77,678.37, 107,186.73 and 43,214.95 is: 59,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678.37 : 107,186.73 = 43,214.95 : x
  2. Step 2: Convert to fraction form
    77,678.37/107,186.73 = 43,214.95/x
  3. Step 3: Cross multiply
    77,678.37x = 107,186.73 × 43,214.95
  4. Step 4: Simplify right side
    77,678.37x = 4,632,069,177.61
  5. Step 5: Solve for x
    x = 4,632,069,177.61/77,678.37
  6. Step 6: Final answer
    x = 59,631.39

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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.