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Finding the Fourth Proportional to 52,012.04, 71,758.78 and 29,348.24

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Solution

The fourth proportional to 52,012.04, 71,758.78 and 29,348.24 is: 40,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.04 : 71,758.78 = 29,348.24 : x
  2. Step 2: Convert to fraction form
    52,012.04/71,758.78 = 29,348.24/x
  3. Step 3: Cross multiply
    52,012.04x = 71,758.78 × 29,348.24
  4. Step 4: Simplify right side
    52,012.04x = 2,105,993,465.38
  5. Step 5: Solve for x
    x = 2,105,993,465.38/52,012.04
  6. Step 6: Final answer
    x = 40,490.50

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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.