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Finding the Fourth Proportional to 97,497.86, 134,546.01 and 55,053.86

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Solution

The fourth proportional to 97,497.86, 134,546.01 and 55,053.86 is: 75,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.86 : 134,546.01 = 55,053.86 : x
  2. Step 2: Convert to fraction form
    97,497.86/134,546.01 = 55,053.86/x
  3. Step 3: Cross multiply
    97,497.86x = 134,546.01 × 55,053.86
  4. Step 4: Simplify right side
    97,497.86x = 7,407,277,198.10
  5. Step 5: Solve for x
    x = 7,407,277,198.10/97,497.86
  6. Step 6: Final answer
    x = 75,973.74

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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.