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Finding the Fourth Proportional to 107,715.46, 161,647 and 37,594.78

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Solution

The fourth proportional to 107,715.46, 161,647 and 37,594.78 is: 56,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,715.46 : 161,647 = 37,594.78 : x
  2. Step 2: Convert to fraction form
    107,715.46/161,647 = 37,594.78/x
  3. Step 3: Cross multiply
    107,715.46x = 161,647 × 37,594.78
  4. Step 4: Simplify right side
    107,715.46x = 6,077,083,402.66
  5. Step 5: Solve for x
    x = 6,077,083,402.66/107,715.46
  6. Step 6: Final answer
    x = 56,417.93

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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.