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Finding the Fourth Proportional to 159,762.36, 239,666.58 and 48,963

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Solution

The fourth proportional to 159,762.36, 239,666.58 and 48,963 is: 73,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,762.36 : 239,666.58 = 48,963 : x
  2. Step 2: Convert to fraction form
    159,762.36/239,666.58 = 48,963/x
  3. Step 3: Cross multiply
    159,762.36x = 239,666.58 × 48,963
  4. Step 4: Simplify right side
    159,762.36x = 11,734,794,756.54
  5. Step 5: Solve for x
    x = 11,734,794,756.54/159,762.36
  6. Step 6: Final answer
    x = 73,451.56

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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.