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Finding the Fourth Proportional to 65,820.37, 90,832.11 and 37,146.10

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Solution

The fourth proportional to 65,820.37, 90,832.11 and 37,146.10 is: 51,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.37 : 90,832.11 = 37,146.10 : x
  2. Step 2: Convert to fraction form
    65,820.37/90,832.11 = 37,146.10/x
  3. Step 3: Cross multiply
    65,820.37x = 90,832.11 × 37,146.10
  4. Step 4: Simplify right side
    65,820.37x = 3,374,058,641.27
  5. Step 5: Solve for x
    x = 3,374,058,641.27/65,820.37
  6. Step 6: Final answer
    x = 51,261.62

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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.