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Finding the Fourth Proportional to 52,643.52, 72,652.74 and 29,977.56

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Solution

The fourth proportional to 52,643.52, 72,652.74 and 29,977.56 is: 41,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.52 : 72,652.74 = 29,977.56 : x
  2. Step 2: Convert to fraction form
    52,643.52/72,652.74 = 29,977.56/x
  3. Step 3: Cross multiply
    52,643.52x = 72,652.74 × 29,977.56
  4. Step 4: Simplify right side
    52,643.52x = 2,177,951,872.51
  5. Step 5: Solve for x
    x = 2,177,951,872.51/52,643.52
  6. Step 6: Final answer
    x = 41,371.70

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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.