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Finding the Fourth Proportional to 37,160.76, 55,740.42 and 9,081

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Solution

The fourth proportional to 37,160.76, 55,740.42 and 9,081 is: 13,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,160.76 : 55,740.42 = 9,081 : x
  2. Step 2: Convert to fraction form
    37,160.76/55,740.42 = 9,081/x
  3. Step 3: Cross multiply
    37,160.76x = 55,740.42 × 9,081
  4. Step 4: Simplify right side
    37,160.76x = 506,178,754.02
  5. Step 5: Solve for x
    x = 506,178,754.02/37,160.76
  6. Step 6: Final answer
    x = 13,621.32

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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.