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Finding the Fourth Proportional to 97,161.17, 145,784.11 and 34,026.59

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Solution

The fourth proportional to 97,161.17, 145,784.11 and 34,026.59 is: 51,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,161.17 : 145,784.11 = 34,026.59 : x
  2. Step 2: Convert to fraction form
    97,161.17/145,784.11 = 34,026.59/x
  3. Step 3: Cross multiply
    97,161.17x = 145,784.11 × 34,026.59
  4. Step 4: Simplify right side
    97,161.17x = 4,960,535,410.56
  5. Step 5: Solve for x
    x = 4,960,535,410.56/97,161.17
  6. Step 6: Final answer
    x = 51,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.