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Finding the Fourth Proportional to 69,511.60, 95,926.50 and 37,681

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Solution

The fourth proportional to 69,511.60, 95,926.50 and 37,681 is: 52,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,511.60 : 95,926.50 = 37,681 : x
  2. Step 2: Convert to fraction form
    69,511.60/95,926.50 = 37,681/x
  3. Step 3: Cross multiply
    69,511.60x = 95,926.50 × 37,681
  4. Step 4: Simplify right side
    69,511.60x = 3,614,606,446.50
  5. Step 5: Solve for x
    x = 3,614,606,446.50/69,511.60
  6. Step 6: Final answer
    x = 52,000.05

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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.