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Finding the Fourth Proportional to 76,379.36, 105,403.20 and 42,845.36

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Solution

The fourth proportional to 76,379.36, 105,403.20 and 42,845.36 is: 59,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379.36 : 105,403.20 = 42,845.36 : x
  2. Step 2: Convert to fraction form
    76,379.36/105,403.20 = 42,845.36/x
  3. Step 3: Cross multiply
    76,379.36x = 105,403.20 × 42,845.36
  4. Step 4: Simplify right side
    76,379.36x = 4,516,038,049.15
  5. Step 5: Solve for x
    x = 4,516,038,049.15/76,379.36
  6. Step 6: Final answer
    x = 59,126.42

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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.