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Finding the Fourth Proportional to 68,064.64, 101,706.46 and 51,965.08

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Solution

The fourth proportional to 68,064.64, 101,706.46 and 51,965.08 is: 77,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064.64 : 101,706.46 = 51,965.08 : x
  2. Step 2: Convert to fraction form
    68,064.64/101,706.46 = 51,965.08/x
  3. Step 3: Cross multiply
    68,064.64x = 101,706.46 × 51,965.08
  4. Step 4: Simplify right side
    68,064.64x = 5,285,184,330.42
  5. Step 5: Solve for x
    x = 5,285,184,330.42/68,064.64
  6. Step 6: Final answer
    x = 77,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.