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Finding the Fourth Proportional to 97,595.70, 146,408.12 and 31,038

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Solution

The fourth proportional to 97,595.70, 146,408.12 and 31,038 is: 46,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,595.70 : 146,408.12 = 31,038 : x
  2. Step 2: Convert to fraction form
    97,595.70/146,408.12 = 31,038/x
  3. Step 3: Cross multiply
    97,595.70x = 146,408.12 × 31,038
  4. Step 4: Simplify right side
    97,595.70x = 4,544,215,228.56
  5. Step 5: Solve for x
    x = 4,544,215,228.56/97,595.70
  6. Step 6: Final answer
    x = 46,561.63

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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.