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Finding the Fourth Proportional to 52,414.50, 72,333.63 and 30,058.50

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Solution

The fourth proportional to 52,414.50, 72,333.63 and 30,058.50 is: 41,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414.50 : 72,333.63 = 30,058.50 : x
  2. Step 2: Convert to fraction form
    52,414.50/72,333.63 = 30,058.50/x
  3. Step 3: Cross multiply
    52,414.50x = 72,333.63 × 30,058.50
  4. Step 4: Simplify right side
    52,414.50x = 2,174,240,417.36
  5. Step 5: Solve for x
    x = 2,174,240,417.36/52,414.50
  6. Step 6: Final answer
    x = 41,481.66

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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.