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Finding the Fourth Proportional to 77,808.69, 116,728.34 and 27,875.34

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Solution

The fourth proportional to 77,808.69, 116,728.34 and 27,875.34 is: 41,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.69 : 116,728.34 = 27,875.34 : x
  2. Step 2: Convert to fraction form
    77,808.69/116,728.34 = 27,875.34/x
  3. Step 3: Cross multiply
    77,808.69x = 116,728.34 × 27,875.34
  4. Step 4: Simplify right side
    77,808.69x = 3,253,842,165.14
  5. Step 5: Solve for x
    x = 3,253,842,165.14/77,808.69
  6. Step 6: Final answer
    x = 41,818.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.