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Finding the Fourth Proportional to 107,768.52, 161,726.76 and 37,647.90

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Solution

The fourth proportional to 107,768.52, 161,726.76 and 37,647.90 is: 56,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,768.52 : 161,726.76 = 37,647.90 : x
  2. Step 2: Convert to fraction form
    107,768.52/161,726.76 = 37,647.90/x
  3. Step 3: Cross multiply
    107,768.52x = 161,726.76 × 37,647.90
  4. Step 4: Simplify right side
    107,768.52x = 6,088,672,887.80
  5. Step 5: Solve for x
    x = 6,088,672,887.80/107,768.52
  6. Step 6: Final answer
    x = 56,497.69

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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.