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Finding the Fourth Proportional to 114,942.80, 172,430.40 and 36,048.80

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Solution

The fourth proportional to 114,942.80, 172,430.40 and 36,048.80 is: 54,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,942.80 : 172,430.40 = 36,048.80 : x
  2. Step 2: Convert to fraction form
    114,942.80/172,430.40 = 36,048.80/x
  3. Step 3: Cross multiply
    114,942.80x = 172,430.40 × 36,048.80
  4. Step 4: Simplify right side
    114,942.80x = 6,215,909,003.52
  5. Step 5: Solve for x
    x = 6,215,909,003.52/114,942.80
  6. Step 6: Final answer
    x = 54,078.28

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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.