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Finding the Fourth Proportional to 31,105.70, 46,549.20 and 21,264.20

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Solution

The fourth proportional to 31,105.70, 46,549.20 and 21,264.20 is: 31,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.70 : 46,549.20 = 21,264.20 : x
  2. Step 2: Convert to fraction form
    31,105.70/46,549.20 = 21,264.20/x
  3. Step 3: Cross multiply
    31,105.70x = 46,549.20 × 21,264.20
  4. Step 4: Simplify right side
    31,105.70x = 989,831,498.64
  5. Step 5: Solve for x
    x = 989,831,498.64/31,105.70
  6. Step 6: Final answer
    x = 31,821.55

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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.