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Finding the Fourth Proportional to 64,235.76, 88,653.24 and 35,942.64

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Solution

The fourth proportional to 64,235.76, 88,653.24 and 35,942.64 is: 49,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,235.76 : 88,653.24 = 35,942.64 : x
  2. Step 2: Convert to fraction form
    64,235.76/88,653.24 = 35,942.64/x
  3. Step 3: Cross multiply
    64,235.76x = 88,653.24 × 35,942.64
  4. Step 4: Simplify right side
    64,235.76x = 3,186,431,490.15
  5. Step 5: Solve for x
    x = 3,186,431,490.15/64,235.76
  6. Step 6: Final answer
    x = 49,605.26

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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.