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Finding the Fourth Proportional to 51,241.15, 70,702.03 and 31,108.63

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Solution

The fourth proportional to 51,241.15, 70,702.03 and 31,108.63 is: 42,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,241.15 : 70,702.03 = 31,108.63 : x
  2. Step 2: Convert to fraction form
    51,241.15/70,702.03 = 31,108.63/x
  3. Step 3: Cross multiply
    51,241.15x = 70,702.03 × 31,108.63
  4. Step 4: Simplify right side
    51,241.15x = 2,199,443,291.52
  5. Step 5: Solve for x
    x = 2,199,443,291.52/51,241.15
  6. Step 6: Final answer
    x = 42,923.38

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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.