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Finding the Fourth Proportional to 37,858, 56,788.08 and 10,156

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Solution

The fourth proportional to 37,858, 56,788.08 and 10,156 is: 15,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858 : 56,788.08 = 10,156 : x
  2. Step 2: Convert to fraction form
    37,858/56,788.08 = 10,156/x
  3. Step 3: Cross multiply
    37,858x = 56,788.08 × 10,156
  4. Step 4: Simplify right side
    37,858x = 576,739,740.48
  5. Step 5: Solve for x
    x = 576,739,740.48/37,858
  6. Step 6: Final answer
    x = 15,234.29

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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.