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Finding the Fourth Proportional to 97,761.94, 134,911.47 and 53,049.94

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Solution

The fourth proportional to 97,761.94, 134,911.47 and 53,049.94 is: 73,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761.94 : 134,911.47 = 53,049.94 : x
  2. Step 2: Convert to fraction form
    97,761.94/134,911.47 = 53,049.94/x
  3. Step 3: Cross multiply
    97,761.94x = 134,911.47 × 53,049.94
  4. Step 4: Simplify right side
    97,761.94x = 7,157,045,250.47
  5. Step 5: Solve for x
    x = 7,157,045,250.47/97,761.94
  6. Step 6: Final answer
    x = 73,208.91

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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.