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Finding the Fourth Proportional to 30,901.48, 46,351.74 and 12,433

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Solution

The fourth proportional to 30,901.48, 46,351.74 and 12,433 is: 18,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.48 : 46,351.74 = 12,433 : x
  2. Step 2: Convert to fraction form
    30,901.48/46,351.74 = 12,433/x
  3. Step 3: Cross multiply
    30,901.48x = 46,351.74 × 12,433
  4. Step 4: Simplify right side
    30,901.48x = 576,291,183.42
  5. Step 5: Solve for x
    x = 576,291,183.42/30,901.48
  6. Step 6: Final answer
    x = 18,649.31

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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.