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Finding the Fourth Proportional to 71,977.68, 107,979.28 and 34,605.50

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Solution

The fourth proportional to 71,977.68, 107,979.28 and 34,605.50 is: 51,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,977.68 : 107,979.28 = 34,605.50 : x
  2. Step 2: Convert to fraction form
    71,977.68/107,979.28 = 34,605.50/x
  3. Step 3: Cross multiply
    71,977.68x = 107,979.28 × 34,605.50
  4. Step 4: Simplify right side
    71,977.68x = 3,736,676,347.63
  5. Step 5: Solve for x
    x = 3,736,676,347.63/71,977.68
  6. Step 6: Final answer
    x = 51,914.38

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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.