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Finding the Fourth Proportional to 110,700, 166,051.44 and 36,828

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Solution

The fourth proportional to 110,700, 166,051.44 and 36,828 is: 55,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,700 : 166,051.44 = 36,828 : x
  2. Step 2: Convert to fraction form
    110,700/166,051.44 = 36,828/x
  3. Step 3: Cross multiply
    110,700x = 166,051.44 × 36,828
  4. Step 4: Simplify right side
    110,700x = 6,115,342,432.32
  5. Step 5: Solve for x
    x = 6,115,342,432.32/110,700
  6. Step 6: Final answer
    x = 55,242.48

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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.