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Finding the Fourth Proportional to 53,770.77, 74,203.38 and 29,896.02

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Solution

The fourth proportional to 53,770.77, 74,203.38 and 29,896.02 is: 41,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.77 : 74,203.38 = 29,896.02 : x
  2. Step 2: Convert to fraction form
    53,770.77/74,203.38 = 29,896.02/x
  3. Step 3: Cross multiply
    53,770.77x = 74,203.38 × 29,896.02
  4. Step 4: Simplify right side
    53,770.77x = 2,218,385,732.55
  5. Step 5: Solve for x
    x = 2,218,385,732.55/53,770.77
  6. Step 6: Final answer
    x = 41,256.35

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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.