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Finding the Fourth Proportional to 113,092.50, 169,577.25 and 34,196.48

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Solution

The fourth proportional to 113,092.50, 169,577.25 and 34,196.48 is: 51,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,092.50 : 169,577.25 = 34,196.48 : x
  2. Step 2: Convert to fraction form
    113,092.50/169,577.25 = 34,196.48/x
  3. Step 3: Cross multiply
    113,092.50x = 169,577.25 × 34,196.48
  4. Step 4: Simplify right side
    113,092.50x = 5,798,944,697.87
  5. Step 5: Solve for x
    x = 5,798,944,697.87/113,092.50
  6. Step 6: Final answer
    x = 51,276.12

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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.