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Finding the Fourth Proportional to 65,548.80, 98,222.40 and 48,830.40

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Solution

The fourth proportional to 65,548.80, 98,222.40 and 48,830.40 is: 73,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,548.80 : 98,222.40 = 48,830.40 : x
  2. Step 2: Convert to fraction form
    65,548.80/98,222.40 = 48,830.40/x
  3. Step 3: Cross multiply
    65,548.80x = 98,222.40 × 48,830.40
  4. Step 4: Simplify right side
    65,548.80x = 4,796,239,080.96
  5. Step 5: Solve for x
    x = 4,796,239,080.96/65,548.80
  6. Step 6: Final answer
    x = 73,170.51

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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.