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Finding the Fourth Proportional to 55,052.42, 75,971.92 and 29,901.92

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Solution

The fourth proportional to 55,052.42, 75,971.92 and 29,901.92 is: 41,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,052.42 : 75,971.92 = 29,901.92 : x
  2. Step 2: Convert to fraction form
    55,052.42/75,971.92 = 29,901.92/x
  3. Step 3: Cross multiply
    55,052.42x = 75,971.92 × 29,901.92
  4. Step 4: Simplify right side
    55,052.42x = 2,271,706,274.09
  5. Step 5: Solve for x
    x = 2,271,706,274.09/55,052.42
  6. Step 6: Final answer
    x = 41,264.42

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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.