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Finding the Fourth Proportional to 71,477.64, 98,653.14 and 41,282.46

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Solution

The fourth proportional to 71,477.64, 98,653.14 and 41,282.46 is: 56,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.64 : 98,653.14 = 41,282.46 : x
  2. Step 2: Convert to fraction form
    71,477.64/98,653.14 = 41,282.46/x
  3. Step 3: Cross multiply
    71,477.64x = 98,653.14 × 41,282.46
  4. Step 4: Simplify right side
    71,477.64x = 4,072,644,305.92
  5. Step 5: Solve for x
    x = 4,072,644,305.92/71,477.64
  6. Step 6: Final answer
    x = 56,977.88

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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.