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Finding the Fourth Proportional to 33,117.80, 49,659.60 and 9,741.20

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Solution

The fourth proportional to 33,117.80, 49,659.60 and 9,741.20 is: 14,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.80 : 49,659.60 = 9,741.20 : x
  2. Step 2: Convert to fraction form
    33,117.80/49,659.60 = 9,741.20/x
  3. Step 3: Cross multiply
    33,117.80x = 49,659.60 × 9,741.20
  4. Step 4: Simplify right side
    33,117.80x = 483,744,095.52
  5. Step 5: Solve for x
    x = 483,744,095.52/33,117.80
  6. Step 6: Final answer
    x = 14,606.77

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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.