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Finding the Fourth Proportional to 70,845.63, 106,284.84 and 24,098.50

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Solution

The fourth proportional to 70,845.63, 106,284.84 and 24,098.50 is: 36,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845.63 : 106,284.84 = 24,098.50 : x
  2. Step 2: Convert to fraction form
    70,845.63/106,284.84 = 24,098.50/x
  3. Step 3: Cross multiply
    70,845.63x = 106,284.84 × 24,098.50
  4. Step 4: Simplify right side
    70,845.63x = 2,561,305,216.74
  5. Step 5: Solve for x
    x = 2,561,305,216.74/70,845.63
  6. Step 6: Final answer
    x = 36,153.33

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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.