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Finding the Fourth Proportional to 76,151.38, 105,074.32 and 49,290.16

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Solution

The fourth proportional to 76,151.38, 105,074.32 and 49,290.16 is: 68,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,151.38 : 105,074.32 = 49,290.16 : x
  2. Step 2: Convert to fraction form
    76,151.38/105,074.32 = 49,290.16/x
  3. Step 3: Cross multiply
    76,151.38x = 105,074.32 × 49,290.16
  4. Step 4: Simplify right side
    76,151.38x = 5,179,130,044.69
  5. Step 5: Solve for x
    x = 5,179,130,044.69/76,151.38
  6. Step 6: Final answer
    x = 68,010.98

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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.