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Finding the Fourth Proportional to 29,937.70, 41,314.35 and 16,509.48

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Solution

The fourth proportional to 29,937.70, 41,314.35 and 16,509.48 is: 22,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937.70 : 41,314.35 = 16,509.48 : x
  2. Step 2: Convert to fraction form
    29,937.70/41,314.35 = 16,509.48/x
  3. Step 3: Cross multiply
    29,937.70x = 41,314.35 × 16,509.48
  4. Step 4: Simplify right side
    29,937.70x = 682,078,435.04
  5. Step 5: Solve for x
    x = 682,078,435.04/29,937.70
  6. Step 6: Final answer
    x = 22,783.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.