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Finding the Fourth Proportional to 52,814.94, 79,166.70 and 19,513.68

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Solution

The fourth proportional to 52,814.94, 79,166.70 and 19,513.68 is: 29,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814.94 : 79,166.70 = 19,513.68 : x
  2. Step 2: Convert to fraction form
    52,814.94/79,166.70 = 19,513.68/x
  3. Step 3: Cross multiply
    52,814.94x = 79,166.70 × 19,513.68
  4. Step 4: Simplify right side
    52,814.94x = 1,544,833,650.46
  5. Step 5: Solve for x
    x = 1,544,833,650.46/52,814.94
  6. Step 6: Final answer
    x = 29,249.94

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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.