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Finding the Fourth Proportional to 107,682.52, 161,545.38 and 37,543

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Solution

The fourth proportional to 107,682.52, 161,545.38 and 37,543 is: 56,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682.52 : 161,545.38 = 37,543 : x
  2. Step 2: Convert to fraction form
    107,682.52/161,545.38 = 37,543/x
  3. Step 3: Cross multiply
    107,682.52x = 161,545.38 × 37,543
  4. Step 4: Simplify right side
    107,682.52x = 6,064,898,201.34
  5. Step 5: Solve for x
    x = 6,064,898,201.34/107,682.52
  6. Step 6: Final answer
    x = 56,322.03

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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.