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Finding the Fourth Proportional to 74,202.08, 111,316.08 and 32,648

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Solution

The fourth proportional to 74,202.08, 111,316.08 and 32,648 is: 48,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202.08 : 111,316.08 = 32,648 : x
  2. Step 2: Convert to fraction form
    74,202.08/111,316.08 = 32,648/x
  3. Step 3: Cross multiply
    74,202.08x = 111,316.08 × 32,648
  4. Step 4: Simplify right side
    74,202.08x = 3,634,247,379.84
  5. Step 5: Solve for x
    x = 3,634,247,379.84/74,202.08
  6. Step 6: Final answer
    x = 48,977.70

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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.