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Finding the Fourth Proportional to 71,651.14, 107,312.78 and 34,237.50

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Solution

The fourth proportional to 71,651.14, 107,312.78 and 34,237.50 is: 51,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,651.14 : 107,312.78 = 34,237.50 : x
  2. Step 2: Convert to fraction form
    71,651.14/107,312.78 = 34,237.50/x
  3. Step 3: Cross multiply
    71,651.14x = 107,312.78 × 34,237.50
  4. Step 4: Simplify right side
    71,651.14x = 3,674,121,305.25
  5. Step 5: Solve for x
    x = 3,674,121,305.25/71,651.14
  6. Step 6: Final answer
    x = 51,277.92

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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.