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Finding the Fourth Proportional to 74,537.64, 111,858.30 and 48,177

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Solution

The fourth proportional to 74,537.64, 111,858.30 and 48,177 is: 72,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,537.64 : 111,858.30 = 48,177 : x
  2. Step 2: Convert to fraction form
    74,537.64/111,858.30 = 48,177/x
  3. Step 3: Cross multiply
    74,537.64x = 111,858.30 × 48,177
  4. Step 4: Simplify right side
    74,537.64x = 5,388,997,319.10
  5. Step 5: Solve for x
    x = 5,388,997,319.10/74,537.64
  6. Step 6: Final answer
    x = 72,299.01

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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.