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Finding the Fourth Proportional to 97,491.53, 146,259.17 and 30,933.83

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Solution

The fourth proportional to 97,491.53, 146,259.17 and 30,933.83 is: 46,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,491.53 : 146,259.17 = 30,933.83 : x
  2. Step 2: Convert to fraction form
    97,491.53/146,259.17 = 30,933.83/x
  3. Step 3: Cross multiply
    97,491.53x = 146,259.17 × 30,933.83
  4. Step 4: Simplify right side
    97,491.53x = 4,524,356,627.70
  5. Step 5: Solve for x
    x = 4,524,356,627.70/97,491.53
  6. Step 6: Final answer
    x = 46,407.69

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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.