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Finding the Fourth Proportional to 37,835.68, 56,755.68 and 11,542.24

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Solution

The fourth proportional to 37,835.68, 56,755.68 and 11,542.24 is: 17,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835.68 : 56,755.68 = 11,542.24 : x
  2. Step 2: Convert to fraction form
    37,835.68/56,755.68 = 11,542.24/x
  3. Step 3: Cross multiply
    37,835.68x = 56,755.68 × 11,542.24
  4. Step 4: Simplify right side
    37,835.68x = 655,087,679.92
  5. Step 5: Solve for x
    x = 655,087,679.92/37,835.68
  6. Step 6: Final answer
    x = 17,314.02

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1.5x scale

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.