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Finding the Fourth Proportional to 37,100.14, 55,319.27 and 32,978.86

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Solution

The fourth proportional to 37,100.14, 55,319.27 and 32,978.86 is: 49,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.14 : 55,319.27 = 32,978.86 : x
  2. Step 2: Convert to fraction form
    37,100.14/55,319.27 = 32,978.86/x
  3. Step 3: Cross multiply
    37,100.14x = 55,319.27 × 32,978.86
  4. Step 4: Simplify right side
    37,100.14x = 1,824,366,460.63
  5. Step 5: Solve for x
    x = 1,824,366,460.63/37,100.14
  6. Step 6: Final answer
    x = 49,174.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.