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Finding the Fourth Proportional to 37,910, 56,869.68 and 16,850

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Solution

The fourth proportional to 37,910, 56,869.68 and 16,850 is: 25,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,910 : 56,869.68 = 16,850 : x
  2. Step 2: Convert to fraction form
    37,910/56,869.68 = 16,850/x
  3. Step 3: Cross multiply
    37,910x = 56,869.68 × 16,850
  4. Step 4: Simplify right side
    37,910x = 958,254,108
  5. Step 5: Solve for x
    x = 958,254,108/37,910
  6. Step 6: Final answer
    x = 25,277.08

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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.