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Finding the Fourth Proportional to 65,336.32, 97,995.25 and 20,957.30

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Solution

The fourth proportional to 65,336.32, 97,995.25 and 20,957.30 is: 31,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,336.32 : 97,995.25 = 20,957.30 : x
  2. Step 2: Convert to fraction form
    65,336.32/97,995.25 = 20,957.30/x
  3. Step 3: Cross multiply
    65,336.32x = 97,995.25 × 20,957.30
  4. Step 4: Simplify right side
    65,336.32x = 2,053,715,852.83
  5. Step 5: Solve for x
    x = 2,053,715,852.83/65,336.32
  6. Step 6: Final answer
    x = 31,432.99

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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.