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Finding the Fourth Proportional to 76,114.92, 105,139 and 58,428.48

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Solution

The fourth proportional to 76,114.92, 105,139 and 58,428.48 is: 80,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.92 : 105,139 = 58,428.48 : x
  2. Step 2: Convert to fraction form
    76,114.92/105,139 = 58,428.48/x
  3. Step 3: Cross multiply
    76,114.92x = 105,139 × 58,428.48
  4. Step 4: Simplify right side
    76,114.92x = 6,143,111,958.72
  5. Step 5: Solve for x
    x = 6,143,111,958.72/76,114.92
  6. Step 6: Final answer
    x = 80,708.38

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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.