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Finding the Fourth Proportional to 110,503.98, 165,754.80 and 47,270.52

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Solution

The fourth proportional to 110,503.98, 165,754.80 and 47,270.52 is: 70,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,503.98 : 165,754.80 = 47,270.52 : x
  2. Step 2: Convert to fraction form
    110,503.98/165,754.80 = 47,270.52/x
  3. Step 3: Cross multiply
    110,503.98x = 165,754.80 × 47,270.52
  4. Step 4: Simplify right side
    110,503.98x = 7,835,315,588.50
  5. Step 5: Solve for x
    x = 7,835,315,588.50/110,503.98
  6. Step 6: Final answer
    x = 70,905.28

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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.