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Finding the Fourth Proportional to 78,944.68, 108,892.74 and 47,089

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Solution

The fourth proportional to 78,944.68, 108,892.74 and 47,089 is: 64,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,944.68 : 108,892.74 = 47,089 : x
  2. Step 2: Convert to fraction form
    78,944.68/108,892.74 = 47,089/x
  3. Step 3: Cross multiply
    78,944.68x = 108,892.74 × 47,089
  4. Step 4: Simplify right side
    78,944.68x = 5,127,650,233.86
  5. Step 5: Solve for x
    x = 5,127,650,233.86/78,944.68
  6. Step 6: Final answer
    x = 64,952.45

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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.