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Finding the Fourth Proportional to 76,255.86, 105,197.49 and 47,977.14

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Solution

The fourth proportional to 76,255.86, 105,197.49 and 47,977.14 is: 66,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,255.86 : 105,197.49 = 47,977.14 : x
  2. Step 2: Convert to fraction form
    76,255.86/105,197.49 = 47,977.14/x
  3. Step 3: Cross multiply
    76,255.86x = 105,197.49 × 47,977.14
  4. Step 4: Simplify right side
    76,255.86x = 5,047,074,705.38
  5. Step 5: Solve for x
    x = 5,047,074,705.38/76,255.86
  6. Step 6: Final answer
    x = 66,186.06

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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.