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Finding the Fourth Proportional to 89,749.61, 123,832.71 and 50,978.80

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Solution

The fourth proportional to 89,749.61, 123,832.71 and 50,978.80 is: 70,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,749.61 : 123,832.71 = 50,978.80 : x
  2. Step 2: Convert to fraction form
    89,749.61/123,832.71 = 50,978.80/x
  3. Step 3: Cross multiply
    89,749.61x = 123,832.71 × 50,978.80
  4. Step 4: Simplify right side
    89,749.61x = 6,312,842,956.55
  5. Step 5: Solve for x
    x = 6,312,842,956.55/89,749.61
  6. Step 6: Final answer
    x = 70,338.39

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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.