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Finding the Fourth Proportional to 71,322.30, 106,983.45 and 66,656.70

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Solution

The fourth proportional to 71,322.30, 106,983.45 and 66,656.70 is: 99,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.30 : 106,983.45 = 66,656.70 : x
  2. Step 2: Convert to fraction form
    71,322.30/106,983.45 = 66,656.70/x
  3. Step 3: Cross multiply
    71,322.30x = 106,983.45 × 66,656.70
  4. Step 4: Simplify right side
    71,322.30x = 7,131,163,731.62
  5. Step 5: Solve for x
    x = 7,131,163,731.62/71,322.30
  6. Step 6: Final answer
    x = 99,985.05

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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.