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Finding the Fourth Proportional to 99,653.76, 149,411.52 and 52,939.44

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Solution

The fourth proportional to 99,653.76, 149,411.52 and 52,939.44 is: 79,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,653.76 : 149,411.52 = 52,939.44 : x
  2. Step 2: Convert to fraction form
    99,653.76/149,411.52 = 52,939.44/x
  3. Step 3: Cross multiply
    99,653.76x = 149,411.52 × 52,939.44
  4. Step 4: Simplify right side
    99,653.76x = 7,909,762,198.35
  5. Step 5: Solve for x
    x = 7,909,762,198.35/99,653.76
  6. Step 6: Final answer
    x = 79,372.44

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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.