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Finding the Fourth Proportional to 52,410.51, 72,322.85 and 29,749.97

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Solution

The fourth proportional to 52,410.51, 72,322.85 and 29,749.97 is: 41,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,410.51 : 72,322.85 = 29,749.97 : x
  2. Step 2: Convert to fraction form
    52,410.51/72,322.85 = 29,749.97/x
  3. Step 3: Cross multiply
    52,410.51x = 72,322.85 × 29,749.97
  4. Step 4: Simplify right side
    52,410.51x = 2,151,602,107.45
  5. Step 5: Solve for x
    x = 2,151,602,107.45/52,410.51
  6. Step 6: Final answer
    x = 41,052.87

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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.