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Finding the Fourth Proportional to 76,338.62, 105,347.92 and 42,349.33

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Solution

The fourth proportional to 76,338.62, 105,347.92 and 42,349.33 is: 58,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338.62 : 105,347.92 = 42,349.33 : x
  2. Step 2: Convert to fraction form
    76,338.62/105,347.92 = 42,349.33/x
  3. Step 3: Cross multiply
    76,338.62x = 105,347.92 × 42,349.33
  4. Step 4: Simplify right side
    76,338.62x = 4,461,413,302.15
  5. Step 5: Solve for x
    x = 4,461,413,302.15/76,338.62
  6. Step 6: Final answer
    x = 58,442.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.