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Finding the Fourth Proportional to 52,322.82, 72,203.96 and 29,663.90

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Solution

The fourth proportional to 52,322.82, 72,203.96 and 29,663.90 is: 40,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322.82 : 72,203.96 = 29,663.90 : x
  2. Step 2: Convert to fraction form
    52,322.82/72,203.96 = 29,663.90/x
  3. Step 3: Cross multiply
    52,322.82x = 72,203.96 × 29,663.90
  4. Step 4: Simplify right side
    52,322.82x = 2,141,851,049.04
  5. Step 5: Solve for x
    x = 2,141,851,049.04/52,322.82
  6. Step 6: Final answer
    x = 40,935.31

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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.