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Finding the Fourth Proportional to 105,622.94, 145,758.83 and 57,876.17

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Solution

The fourth proportional to 105,622.94, 145,758.83 and 57,876.17 is: 79,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.94 : 145,758.83 = 57,876.17 : x
  2. Step 2: Convert to fraction form
    105,622.94/145,758.83 = 57,876.17/x
  3. Step 3: Cross multiply
    105,622.94x = 145,758.83 × 57,876.17
  4. Step 4: Simplify right side
    105,622.94x = 8,435,961,805.91
  5. Step 5: Solve for x
    x = 8,435,961,805.91/105,622.94
  6. Step 6: Final answer
    x = 79,868.65

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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.