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Finding the Fourth Proportional to 65,498.78, 90,383.46 and 37,199

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Solution

The fourth proportional to 65,498.78, 90,383.46 and 37,199 is: 51,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.78 : 90,383.46 = 37,199 : x
  2. Step 2: Convert to fraction form
    65,498.78/90,383.46 = 37,199/x
  3. Step 3: Cross multiply
    65,498.78x = 90,383.46 × 37,199
  4. Step 4: Simplify right side
    65,498.78x = 3,362,174,328.54
  5. Step 5: Solve for x
    x = 3,362,174,328.54/65,498.78
  6. Step 6: Final answer
    x = 51,331.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.