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Finding the Fourth Proportional to 114,048.98, 171,083.04 and 42,021.50

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Solution

The fourth proportional to 114,048.98, 171,083.04 and 42,021.50 is: 63,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,048.98 : 171,083.04 = 42,021.50 : x
  2. Step 2: Convert to fraction form
    114,048.98/171,083.04 = 42,021.50/x
  3. Step 3: Cross multiply
    114,048.98x = 171,083.04 × 42,021.50
  4. Step 4: Simplify right side
    114,048.98x = 7,189,165,965.36
  5. Step 5: Solve for x
    x = 7,189,165,965.36/114,048.98
  6. Step 6: Final answer
    x = 63,035.78

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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.