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Finding the Fourth Proportional to 33,991.70, 50,989.80 and 9,031.40

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Solution

The fourth proportional to 33,991.70, 50,989.80 and 9,031.40 is: 13,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.70 : 50,989.80 = 9,031.40 : x
  2. Step 2: Convert to fraction form
    33,991.70/50,989.80 = 9,031.40/x
  3. Step 3: Cross multiply
    33,991.70x = 50,989.80 × 9,031.40
  4. Step 4: Simplify right side
    33,991.70x = 460,509,279.72
  5. Step 5: Solve for x
    x = 460,509,279.72/33,991.70
  6. Step 6: Final answer
    x = 13,547.70

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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.