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Finding the Fourth Proportional to 64,454.70, 96,706.35 and 31,204.20

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Solution

The fourth proportional to 64,454.70, 96,706.35 and 31,204.20 is: 46,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,454.70 : 96,706.35 = 31,204.20 : x
  2. Step 2: Convert to fraction form
    64,454.70/96,706.35 = 31,204.20/x
  3. Step 3: Cross multiply
    64,454.70x = 96,706.35 × 31,204.20
  4. Step 4: Simplify right side
    64,454.70x = 3,017,644,286.67
  5. Step 5: Solve for x
    x = 3,017,644,286.67/64,454.70
  6. Step 6: Final answer
    x = 46,818.06

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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.