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Finding the Fourth Proportional to 52,955.76, 73,080.16 and 29,084

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Solution

The fourth proportional to 52,955.76, 73,080.16 and 29,084 is: 40,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,955.76 : 73,080.16 = 29,084 : x
  2. Step 2: Convert to fraction form
    52,955.76/73,080.16 = 29,084/x
  3. Step 3: Cross multiply
    52,955.76x = 73,080.16 × 29,084
  4. Step 4: Simplify right side
    52,955.76x = 2,125,463,373.44
  5. Step 5: Solve for x
    x = 2,125,463,373.44/52,955.76
  6. Step 6: Final answer
    x = 40,136.59

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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.