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Finding the Fourth Proportional to 57,006, 78,668.28 and 31,855.50

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Solution

The fourth proportional to 57,006, 78,668.28 and 31,855.50 is: 43,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006 : 78,668.28 = 31,855.50 : x
  2. Step 2: Convert to fraction form
    57,006/78,668.28 = 31,855.50/x
  3. Step 3: Cross multiply
    57,006x = 78,668.28 × 31,855.50
  4. Step 4: Simplify right side
    57,006x = 2,506,017,393.54
  5. Step 5: Solve for x
    x = 2,506,017,393.54/57,006
  6. Step 6: Final answer
    x = 43,960.59

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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.