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Finding the Fourth Proportional to 37,165.16, 55,747.26 and 9,085.46

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Solution

The fourth proportional to 37,165.16, 55,747.26 and 9,085.46 is: 13,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165.16 : 55,747.26 = 9,085.46 : x
  2. Step 2: Convert to fraction form
    37,165.16/55,747.26 = 9,085.46/x
  3. Step 3: Cross multiply
    37,165.16x = 55,747.26 × 9,085.46
  4. Step 4: Simplify right side
    37,165.16x = 506,489,640.21
  5. Step 5: Solve for x
    x = 506,489,640.21/37,165.16
  6. Step 6: Final answer
    x = 13,628.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.