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Finding the Fourth Proportional to 69,751.94, 96,094.96 and 48,494.30

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Solution

The fourth proportional to 69,751.94, 96,094.96 and 48,494.30 is: 66,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,751.94 : 96,094.96 = 48,494.30 : x
  2. Step 2: Convert to fraction form
    69,751.94/96,094.96 = 48,494.30/x
  3. Step 3: Cross multiply
    69,751.94x = 96,094.96 × 48,494.30
  4. Step 4: Simplify right side
    69,751.94x = 4,660,057,217.02
  5. Step 5: Solve for x
    x = 4,660,057,217.02/69,751.94
  6. Step 6: Final answer
    x = 66,809.00

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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.