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Finding the Fourth Proportional to 37,157.76, 55,735.92 and 9,078

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Solution

The fourth proportional to 37,157.76, 55,735.92 and 9,078 is: 13,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,157.76 : 55,735.92 = 9,078 : x
  2. Step 2: Convert to fraction form
    37,157.76/55,735.92 = 9,078/x
  3. Step 3: Cross multiply
    37,157.76x = 55,735.92 × 9,078
  4. Step 4: Simplify right side
    37,157.76x = 505,970,681.76
  5. Step 5: Solve for x
    x = 505,970,681.76/37,157.76
  6. Step 6: Final answer
    x = 13,616.82

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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.