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Finding the Fourth Proportional to 98,393.64, 147,633.82 and 51,635.24

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Solution

The fourth proportional to 98,393.64, 147,633.82 and 51,635.24 is: 77,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,393.64 : 147,633.82 = 51,635.24 : x
  2. Step 2: Convert to fraction form
    98,393.64/147,633.82 = 51,635.24/x
  3. Step 3: Cross multiply
    98,393.64x = 147,633.82 × 51,635.24
  4. Step 4: Simplify right side
    98,393.64x = 7,623,107,727.82
  5. Step 5: Solve for x
    x = 7,623,107,727.82/98,393.64
  6. Step 6: Final answer
    x = 77,475.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.