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Finding the Fourth Proportional to 65,436.48, 90,302.77 and 37,142.64

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Solution

The fourth proportional to 65,436.48, 90,302.77 and 37,142.64 is: 51,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,436.48 : 90,302.77 = 37,142.64 : x
  2. Step 2: Convert to fraction form
    65,436.48/90,302.77 = 37,142.64/x
  3. Step 3: Cross multiply
    65,436.48x = 90,302.77 × 37,142.64
  4. Step 4: Simplify right side
    65,436.48x = 3,354,083,277.11
  5. Step 5: Solve for x
    x = 3,354,083,277.11/65,436.48
  6. Step 6: Final answer
    x = 51,257.09

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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.