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Finding the Fourth Proportional to 37,117.75, 55,679.87 and 9,415.75

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Solution

The fourth proportional to 37,117.75, 55,679.87 and 9,415.75 is: 14,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,117.75 : 55,679.87 = 9,415.75 : x
  2. Step 2: Convert to fraction form
    37,117.75/55,679.87 = 9,415.75/x
  3. Step 3: Cross multiply
    37,117.75x = 55,679.87 × 9,415.75
  4. Step 4: Simplify right side
    37,117.75x = 524,267,735.95
  5. Step 5: Solve for x
    x = 524,267,735.95/37,117.75
  6. Step 6: Final answer
    x = 14,124.45

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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.