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Finding the Fourth Proportional to 45,134.02, 67,635.42 and 32,012.02

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Solution

The fourth proportional to 45,134.02, 67,635.42 and 32,012.02 is: 47,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,134.02 : 67,635.42 = 32,012.02 : x
  2. Step 2: Convert to fraction form
    45,134.02/67,635.42 = 32,012.02/x
  3. Step 3: Cross multiply
    45,134.02x = 67,635.42 × 32,012.02
  4. Step 4: Simplify right side
    45,134.02x = 2,165,146,417.75
  5. Step 5: Solve for x
    x = 2,165,146,417.75/45,134.02
  6. Step 6: Final answer
    x = 47,971.50

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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.