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Finding the Fourth Proportional to 36,235.64, 49,984 and 22,785.60

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Solution

The fourth proportional to 36,235.64, 49,984 and 22,785.60 is: 31,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,235.64 : 49,984 = 22,785.60 : x
  2. Step 2: Convert to fraction form
    36,235.64/49,984 = 22,785.60/x
  3. Step 3: Cross multiply
    36,235.64x = 49,984 × 22,785.60
  4. Step 4: Simplify right side
    36,235.64x = 1,138,915,430.40
  5. Step 5: Solve for x
    x = 1,138,915,430.40/36,235.64
  6. Step 6: Final answer
    x = 31,430.81

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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.