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Finding the Fourth Proportional to 52,951.84, 73,073.64 and 29,080.08

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Solution

The fourth proportional to 52,951.84, 73,073.64 and 29,080.08 is: 40,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.84 : 73,073.64 = 29,080.08 : x
  2. Step 2: Convert to fraction form
    52,951.84/73,073.64 = 29,080.08/x
  3. Step 3: Cross multiply
    52,951.84x = 73,073.64 × 29,080.08
  4. Step 4: Simplify right side
    52,951.84x = 2,124,987,297.09
  5. Step 5: Solve for x
    x = 2,124,987,297.09/52,951.84
  6. Step 6: Final answer
    x = 40,130.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.