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Finding the Fourth Proportional to 65,646.76, 90,589.38 and 37,349.80

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Solution

The fourth proportional to 65,646.76, 90,589.38 and 37,349.80 is: 51,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.76 : 90,589.38 = 37,349.80 : x
  2. Step 2: Convert to fraction form
    65,646.76/90,589.38 = 37,349.80/x
  3. Step 3: Cross multiply
    65,646.76x = 90,589.38 × 37,349.80
  4. Step 4: Simplify right side
    65,646.76x = 3,383,495,225.12
  5. Step 5: Solve for x
    x = 3,383,495,225.12/65,646.76
  6. Step 6: Final answer
    x = 51,540.93

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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.