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Finding the Fourth Proportional to 70,907.60, 106,377.92 and 23,519.23

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Solution

The fourth proportional to 70,907.60, 106,377.92 and 23,519.23 is: 35,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.60 : 106,377.92 = 23,519.23 : x
  2. Step 2: Convert to fraction form
    70,907.60/106,377.92 = 23,519.23/x
  3. Step 3: Cross multiply
    70,907.60x = 106,377.92 × 23,519.23
  4. Step 4: Simplify right side
    70,907.60x = 2,501,926,235.51
  5. Step 5: Solve for x
    x = 2,501,926,235.51/70,907.60
  6. Step 6: Final answer
    x = 35,284.32

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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.