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Finding the Fourth Proportional to 103,909.38, 143,393.94 and 57,969.42

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Solution

The fourth proportional to 103,909.38, 143,393.94 and 57,969.42 is: 79,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,909.38 : 143,393.94 = 57,969.42 : x
  2. Step 2: Convert to fraction form
    103,909.38/143,393.94 = 57,969.42/x
  3. Step 3: Cross multiply
    103,909.38x = 143,393.94 × 57,969.42
  4. Step 4: Simplify right side
    103,909.38x = 8,312,463,533.31
  5. Step 5: Solve for x
    x = 8,312,463,533.31/103,909.38
  6. Step 6: Final answer
    x = 79,997.24

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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.