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Finding the Fourth Proportional to 76,379, 105,403.38 and 42,845

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Solution

The fourth proportional to 76,379, 105,403.38 and 42,845 is: 59,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379 : 105,403.38 = 42,845 : x
  2. Step 2: Convert to fraction form
    76,379/105,403.38 = 42,845/x
  3. Step 3: Cross multiply
    76,379x = 105,403.38 × 42,845
  4. Step 4: Simplify right side
    76,379x = 4,516,007,816.10
  5. Step 5: Solve for x
    x = 4,516,007,816.10/76,379
  6. Step 6: Final answer
    x = 59,126.30

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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.