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Finding the Fourth Proportional to 70,817.68, 106,267.56 and 26,442.78

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Solution

The fourth proportional to 70,817.68, 106,267.56 and 26,442.78 is: 39,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.68 : 106,267.56 = 26,442.78 : x
  2. Step 2: Convert to fraction form
    70,817.68/106,267.56 = 26,442.78/x
  3. Step 3: Cross multiply
    70,817.68x = 106,267.56 × 26,442.78
  4. Step 4: Simplify right side
    70,817.68x = 2,810,009,710.22
  5. Step 5: Solve for x
    x = 2,810,009,710.22/70,817.68
  6. Step 6: Final answer
    x = 39,679.49

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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.