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Finding the Fourth Proportional to 45,643.34, 68,353.18 and 37,697.24

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Solution

The fourth proportional to 45,643.34, 68,353.18 and 37,697.24 is: 56,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643.34 : 68,353.18 = 37,697.24 : x
  2. Step 2: Convert to fraction form
    45,643.34/68,353.18 = 37,697.24/x
  3. Step 3: Cross multiply
    45,643.34x = 68,353.18 × 37,697.24
  4. Step 4: Simplify right side
    45,643.34x = 2,576,726,231.22
  5. Step 5: Solve for x
    x = 2,576,726,231.22/45,643.34
  6. Step 6: Final answer
    x = 56,453.50

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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.