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Finding the Fourth Proportional to 34,803.84, 52,170.24 and 13,730.16

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Solution

The fourth proportional to 34,803.84, 52,170.24 and 13,730.16 is: 20,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,803.84 : 52,170.24 = 13,730.16 : x
  2. Step 2: Convert to fraction form
    34,803.84/52,170.24 = 13,730.16/x
  3. Step 3: Cross multiply
    34,803.84x = 52,170.24 × 13,730.16
  4. Step 4: Simplify right side
    34,803.84x = 716,305,742.44
  5. Step 5: Solve for x
    x = 716,305,742.44/34,803.84
  6. Step 6: Final answer
    x = 20,581.23

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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.