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Finding the Fourth Proportional to 97,038, 145,557 and 26,917.31

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Solution

The fourth proportional to 97,038, 145,557 and 26,917.31 is: 40,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038 : 145,557 = 26,917.31 : x
  2. Step 2: Convert to fraction form
    97,038/145,557 = 26,917.31/x
  3. Step 3: Cross multiply
    97,038x = 145,557 × 26,917.31
  4. Step 4: Simplify right side
    97,038x = 3,918,003,255.56
  5. Step 5: Solve for x
    x = 3,918,003,255.56/97,038
  6. Step 6: Final answer
    x = 40,375.97

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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.