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Finding the Fourth Proportional to 29,937.68, 44,906.64 and 9,161.12

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Solution

The fourth proportional to 29,937.68, 44,906.64 and 9,161.12 is: 13,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937.68 : 44,906.64 = 9,161.12 : x
  2. Step 2: Convert to fraction form
    29,937.68/44,906.64 = 9,161.12/x
  3. Step 3: Cross multiply
    29,937.68x = 44,906.64 × 9,161.12
  4. Step 4: Simplify right side
    29,937.68x = 411,395,117.84
  5. Step 5: Solve for x
    x = 411,395,117.84/29,937.68
  6. Step 6: Final answer
    x = 13,741.72

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1.5x scale

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.