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Finding the Fourth Proportional to 75,132.96, 112,700.52 and 35,694.06

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Solution

The fourth proportional to 75,132.96, 112,700.52 and 35,694.06 is: 53,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132.96 : 112,700.52 = 35,694.06 : x
  2. Step 2: Convert to fraction form
    75,132.96/112,700.52 = 35,694.06/x
  3. Step 3: Cross multiply
    75,132.96x = 112,700.52 × 35,694.06
  4. Step 4: Simplify right side
    75,132.96x = 4,022,739,122.91
  5. Step 5: Solve for x
    x = 4,022,739,122.91/75,132.96
  6. Step 6: Final answer
    x = 53,541.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.