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Finding the Fourth Proportional to 57,112.38, 78,804.14 and 36,966.46

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Solution

The fourth proportional to 57,112.38, 78,804.14 and 36,966.46 is: 51,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112.38 : 78,804.14 = 36,966.46 : x
  2. Step 2: Convert to fraction form
    57,112.38/78,804.14 = 36,966.46/x
  3. Step 3: Cross multiply
    57,112.38x = 78,804.14 × 36,966.46
  4. Step 4: Simplify right side
    57,112.38x = 2,913,110,089.14
  5. Step 5: Solve for x
    x = 2,913,110,089.14/57,112.38
  6. Step 6: Final answer
    x = 51,006.63

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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.