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Finding the Fourth Proportional to 70,985.97, 106,455.90 and 23,588.32

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Solution

The fourth proportional to 70,985.97, 106,455.90 and 23,588.32 is: 35,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,985.97 : 106,455.90 = 23,588.32 : x
  2. Step 2: Convert to fraction form
    70,985.97/106,455.90 = 23,588.32/x
  3. Step 3: Cross multiply
    70,985.97x = 106,455.90 × 23,588.32
  4. Step 4: Simplify right side
    70,985.97x = 2,511,115,835.09
  5. Step 5: Solve for x
    x = 2,511,115,835.09/70,985.97
  6. Step 6: Final answer
    x = 35,374.82

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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.