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Finding the Fourth Proportional to 31,042.70, 46,577.70 and 10,266.20

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Solution

The fourth proportional to 31,042.70, 46,577.70 and 10,266.20 is: 15,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.70 : 46,577.70 = 10,266.20 : x
  2. Step 2: Convert to fraction form
    31,042.70/46,577.70 = 10,266.20/x
  3. Step 3: Cross multiply
    31,042.70x = 46,577.70 × 10,266.20
  4. Step 4: Simplify right side
    31,042.70x = 478,175,750.85
  5. Step 5: Solve for x
    x = 478,175,750.85/31,042.70
  6. Step 6: Final answer
    x = 15,403.81

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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.