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Finding the Fourth Proportional to 52,832.38, 72,916.16 and 32,695.75

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Solution

The fourth proportional to 52,832.38, 72,916.16 and 32,695.75 is: 45,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,832.38 : 72,916.16 = 32,695.75 : x
  2. Step 2: Convert to fraction form
    52,832.38/72,916.16 = 32,695.75/x
  3. Step 3: Cross multiply
    52,832.38x = 72,916.16 × 32,695.75
  4. Step 4: Simplify right side
    52,832.38x = 2,384,048,538.32
  5. Step 5: Solve for x
    x = 2,384,048,538.32/52,832.38
  6. Step 6: Final answer
    x = 45,124.76

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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.