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Finding the Fourth Proportional to 30,937.68, 46,406.34 and 10,161

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Solution

The fourth proportional to 30,937.68, 46,406.34 and 10,161 is: 15,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.68 : 46,406.34 = 10,161 : x
  2. Step 2: Convert to fraction form
    30,937.68/46,406.34 = 10,161/x
  3. Step 3: Cross multiply
    30,937.68x = 46,406.34 × 10,161
  4. Step 4: Simplify right side
    30,937.68x = 471,534,820.74
  5. Step 5: Solve for x
    x = 471,534,820.74/30,937.68
  6. Step 6: Final answer
    x = 15,241.44

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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.