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Finding the Fourth Proportional to 145,855.41, 218,783.11 and 35,047.41

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Solution

The fourth proportional to 145,855.41, 218,783.11 and 35,047.41 is: 52,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.41 : 218,783.11 = 35,047.41 : x
  2. Step 2: Convert to fraction form
    145,855.41/218,783.11 = 35,047.41/x
  3. Step 3: Cross multiply
    145,855.41x = 218,783.11 × 35,047.41
  4. Step 4: Simplify right side
    145,855.41x = 7,667,781,357.25
  5. Step 5: Solve for x
    x = 7,667,781,357.25/145,855.41
  6. Step 6: Final answer
    x = 52,571.11

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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.