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Finding the Fourth Proportional to 68,509.26, 102,677.63 and 31,058.10

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Solution

The fourth proportional to 68,509.26, 102,677.63 and 31,058.10 is: 46,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.26 : 102,677.63 = 31,058.10 : x
  2. Step 2: Convert to fraction form
    68,509.26/102,677.63 = 31,058.10/x
  3. Step 3: Cross multiply
    68,509.26x = 102,677.63 × 31,058.10
  4. Step 4: Simplify right side
    68,509.26x = 3,188,971,945.01
  5. Step 5: Solve for x
    x = 3,188,971,945.01/68,509.26
  6. Step 6: Final answer
    x = 46,548.04

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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.