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Finding the Fourth Proportional to 103,840.65, 155,760.98 and 32,770.48

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Solution

The fourth proportional to 103,840.65, 155,760.98 and 32,770.48 is: 49,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,840.65 : 155,760.98 = 32,770.48 : x
  2. Step 2: Convert to fraction form
    103,840.65/155,760.98 = 32,770.48/x
  3. Step 3: Cross multiply
    103,840.65x = 155,760.98 × 32,770.48
  4. Step 4: Simplify right side
    103,840.65x = 5,104,362,079.87
  5. Step 5: Solve for x
    x = 5,104,362,079.87/103,840.65
  6. Step 6: Final answer
    x = 49,155.72

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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.