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Finding the Fourth Proportional to 140,008.31, 210,013.22 and 34,827.29

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Solution

The fourth proportional to 140,008.31, 210,013.22 and 34,827.29 is: 52,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,008.31 : 210,013.22 = 34,827.29 : x
  2. Step 2: Convert to fraction form
    140,008.31/210,013.22 = 34,827.29/x
  3. Step 3: Cross multiply
    140,008.31x = 210,013.22 × 34,827.29
  4. Step 4: Simplify right side
    140,008.31x = 7,314,191,316.77
  5. Step 5: Solve for x
    x = 7,314,191,316.77/140,008.31
  6. Step 6: Final answer
    x = 52,241.12

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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.