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Finding the Fourth Proportional to 37,785, 56,677.68 and 10,083

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Solution

The fourth proportional to 37,785, 56,677.68 and 10,083 is: 15,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785 : 56,677.68 = 10,083 : x
  2. Step 2: Convert to fraction form
    37,785/56,677.68 = 10,083/x
  3. Step 3: Cross multiply
    37,785x = 56,677.68 × 10,083
  4. Step 4: Simplify right side
    37,785x = 571,481,047.44
  5. Step 5: Solve for x
    x = 571,481,047.44/37,785
  6. Step 6: Final answer
    x = 15,124.55

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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.