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Finding the Fourth Proportional to 69,114.12, 103,656.14 and 26,980.64

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Solution

The fourth proportional to 69,114.12, 103,656.14 and 26,980.64 is: 40,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114.12 : 103,656.14 = 26,980.64 : x
  2. Step 2: Convert to fraction form
    69,114.12/103,656.14 = 26,980.64/x
  3. Step 3: Cross multiply
    69,114.12x = 103,656.14 × 26,980.64
  4. Step 4: Simplify right side
    69,114.12x = 2,796,708,997.13
  5. Step 5: Solve for x
    x = 2,796,708,997.13/69,114.12
  6. Step 6: Final answer
    x = 40,465.09

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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.