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Finding the Fourth Proportional to 53,101.82, 73,279.95 and 29,227.98

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Solution

The fourth proportional to 53,101.82, 73,279.95 and 29,227.98 is: 40,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,101.82 : 73,279.95 = 29,227.98 : x
  2. Step 2: Convert to fraction form
    53,101.82/73,279.95 = 29,227.98/x
  3. Step 3: Cross multiply
    53,101.82x = 73,279.95 × 29,227.98
  4. Step 4: Simplify right side
    53,101.82x = 2,141,824,913.00
  5. Step 5: Solve for x
    x = 2,141,824,913.00/53,101.82
  6. Step 6: Final answer
    x = 40,334.31

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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.