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Finding the Fourth Proportional to 51,962.70, 71,706.78 and 32,852.76

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Solution

The fourth proportional to 51,962.70, 71,706.78 and 32,852.76 is: 45,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962.70 : 71,706.78 = 32,852.76 : x
  2. Step 2: Convert to fraction form
    51,962.70/71,706.78 = 32,852.76/x
  3. Step 3: Cross multiply
    51,962.70x = 71,706.78 × 32,852.76
  4. Step 4: Simplify right side
    51,962.70x = 2,355,765,633.71
  5. Step 5: Solve for x
    x = 2,355,765,633.71/51,962.70
  6. Step 6: Final answer
    x = 45,335.70

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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.