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Finding the Fourth Proportional to 74,542.72, 111,814.06 and 51,098.08

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Solution

The fourth proportional to 74,542.72, 111,814.06 and 51,098.08 is: 76,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,542.72 : 111,814.06 = 51,098.08 : x
  2. Step 2: Convert to fraction form
    74,542.72/111,814.06 = 51,098.08/x
  3. Step 3: Cross multiply
    74,542.72x = 111,814.06 × 51,098.08
  4. Step 4: Simplify right side
    74,542.72x = 5,713,483,783.00
  5. Step 5: Solve for x
    x = 5,713,483,783.00/74,542.72
  6. Step 6: Final answer
    x = 76,647.11

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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.