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Finding the Fourth Proportional to 73,541.34, 101,416.47 and 49,396.86

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Solution

The fourth proportional to 73,541.34, 101,416.47 and 49,396.86 is: 68,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,541.34 : 101,416.47 = 49,396.86 : x
  2. Step 2: Convert to fraction form
    73,541.34/101,416.47 = 49,396.86/x
  3. Step 3: Cross multiply
    73,541.34x = 101,416.47 × 49,396.86
  4. Step 4: Simplify right side
    73,541.34x = 5,009,655,170.28
  5. Step 5: Solve for x
    x = 5,009,655,170.28/73,541.34
  6. Step 6: Final answer
    x = 68,120.26

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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.