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Finding the Fourth Proportional to 76,147.31, 105,083.30 and 42,613.31

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Solution

The fourth proportional to 76,147.31, 105,083.30 and 42,613.31 is: 58,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.31 : 105,083.30 = 42,613.31 : x
  2. Step 2: Convert to fraction form
    76,147.31/105,083.30 = 42,613.31/x
  3. Step 3: Cross multiply
    76,147.31x = 105,083.30 × 42,613.31
  4. Step 4: Simplify right side
    76,147.31x = 4,477,947,607.96
  5. Step 5: Solve for x
    x = 4,477,947,607.96/76,147.31
  6. Step 6: Final answer
    x = 58,806.38

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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.