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Finding the Fourth Proportional to 45,411.70, 68,117.55 and 31,414.90

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Solution

The fourth proportional to 45,411.70, 68,117.55 and 31,414.90 is: 47,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411.70 : 68,117.55 = 31,414.90 : x
  2. Step 2: Convert to fraction form
    45,411.70/68,117.55 = 31,414.90/x
  3. Step 3: Cross multiply
    45,411.70x = 68,117.55 × 31,414.90
  4. Step 4: Simplify right side
    45,411.70x = 2,139,906,021.50
  5. Step 5: Solve for x
    x = 2,139,906,021.50/45,411.70
  6. Step 6: Final answer
    x = 47,122.35

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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.