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Finding the Fourth Proportional to 78,558.23, 108,410.38 and 42,748.38

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Solution

The fourth proportional to 78,558.23, 108,410.38 and 42,748.38 is: 58,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,558.23 : 108,410.38 = 42,748.38 : x
  2. Step 2: Convert to fraction form
    78,558.23/108,410.38 = 42,748.38/x
  3. Step 3: Cross multiply
    78,558.23x = 108,410.38 × 42,748.38
  4. Step 4: Simplify right side
    78,558.23x = 4,634,368,120.18
  5. Step 5: Solve for x
    x = 4,634,368,120.18/78,558.23
  6. Step 6: Final answer
    x = 58,992.78

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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.