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Finding the Fourth Proportional to 57,365.90, 79,142.82 and 42,294.38

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Solution

The fourth proportional to 57,365.90, 79,142.82 and 42,294.38 is: 58,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,365.90 : 79,142.82 = 42,294.38 : x
  2. Step 2: Convert to fraction form
    57,365.90/79,142.82 = 42,294.38/x
  3. Step 3: Cross multiply
    57,365.90x = 79,142.82 × 42,294.38
  4. Step 4: Simplify right side
    57,365.90x = 3,347,296,503.35
  5. Step 5: Solve for x
    x = 3,347,296,503.35/57,365.90
  6. Step 6: Final answer
    x = 58,349.93

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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.