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Finding the Fourth Proportional to 65,977.60, 91,047.36 and 35,761.60

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Solution

The fourth proportional to 65,977.60, 91,047.36 and 35,761.60 is: 49,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977.60 : 91,047.36 = 35,761.60 : x
  2. Step 2: Convert to fraction form
    65,977.60/91,047.36 = 35,761.60/x
  3. Step 3: Cross multiply
    65,977.60x = 91,047.36 × 35,761.60
  4. Step 4: Simplify right side
    65,977.60x = 3,255,999,269.38
  5. Step 5: Solve for x
    x = 3,255,999,269.38/65,977.60
  6. Step 6: Final answer
    x = 49,350.07

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Why These Related Problems?

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