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Finding the Fourth Proportional to 77,977.87, 116,946.03 and 21,814.49

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Solution

The fourth proportional to 77,977.87, 116,946.03 and 21,814.49 is: 32,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.87 : 116,946.03 = 21,814.49 : x
  2. Step 2: Convert to fraction form
    77,977.87/116,946.03 = 21,814.49/x
  3. Step 3: Cross multiply
    77,977.87x = 116,946.03 × 21,814.49
  4. Step 4: Simplify right side
    77,977.87x = 2,551,118,001.97
  5. Step 5: Solve for x
    x = 2,551,118,001.97/77,977.87
  6. Step 6: Final answer
    x = 32,715.92

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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.