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Finding the Fourth Proportional to 102,503.36, 153,743.61 and 27,630.97

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Solution

The fourth proportional to 102,503.36, 153,743.61 and 27,630.97 is: 41,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,503.36 : 153,743.61 = 27,630.97 : x
  2. Step 2: Convert to fraction form
    102,503.36/153,743.61 = 27,630.97/x
  3. Step 3: Cross multiply
    102,503.36x = 153,743.61 × 27,630.97
  4. Step 4: Simplify right side
    102,503.36x = 4,248,085,075.60
  5. Step 5: Solve for x
    x = 4,248,085,075.60/102,503.36
  6. Step 6: Final answer
    x = 41,443.37

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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.