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Finding the Fourth Proportional to 71,041.66, 106,579.80 and 23,656.66

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Solution

The fourth proportional to 71,041.66, 106,579.80 and 23,656.66 is: 35,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,041.66 : 106,579.80 = 23,656.66 : x
  2. Step 2: Convert to fraction form
    71,041.66/106,579.80 = 23,656.66/x
  3. Step 3: Cross multiply
    71,041.66x = 106,579.80 × 23,656.66
  4. Step 4: Simplify right side
    71,041.66x = 2,521,322,091.47
  5. Step 5: Solve for x
    x = 2,521,322,091.47/71,041.66
  6. Step 6: Final answer
    x = 35,490.75

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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.