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Finding the Fourth Proportional to 142,008.29, 213,013.80 and 36,827.26

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Solution

The fourth proportional to 142,008.29, 213,013.80 and 36,827.26 is: 55,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,008.29 : 213,013.80 = 36,827.26 : x
  2. Step 2: Convert to fraction form
    142,008.29/213,013.80 = 36,827.26/x
  3. Step 3: Cross multiply
    142,008.29x = 213,013.80 × 36,827.26
  4. Step 4: Simplify right side
    142,008.29x = 7,844,714,063.65
  5. Step 5: Solve for x
    x = 7,844,714,063.65/142,008.29
  6. Step 6: Final answer
    x = 55,241.24

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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.