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Finding the Fourth Proportional to 70,817.58, 106,291.98 and 35,781.84

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Solution

The fourth proportional to 70,817.58, 106,291.98 and 35,781.84 is: 53,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.58 : 106,291.98 = 35,781.84 : x
  2. Step 2: Convert to fraction form
    70,817.58/106,291.98 = 35,781.84/x
  3. Step 3: Cross multiply
    70,817.58x = 106,291.98 × 35,781.84
  4. Step 4: Simplify right side
    70,817.58x = 3,803,322,621.64
  5. Step 5: Solve for x
    x = 3,803,322,621.64/70,817.58
  6. Step 6: Final answer
    x = 53,705.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.