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Finding the Fourth Proportional to 110,653.76, 165,981.66 and 31,767.98

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Solution

The fourth proportional to 110,653.76, 165,981.66 and 31,767.98 is: 47,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,653.76 : 165,981.66 = 31,767.98 : x
  2. Step 2: Convert to fraction form
    110,653.76/165,981.66 = 31,767.98/x
  3. Step 3: Cross multiply
    110,653.76x = 165,981.66 × 31,767.98
  4. Step 4: Simplify right side
    110,653.76x = 5,272,902,055.25
  5. Step 5: Solve for x
    x = 5,272,902,055.25/110,653.76
  6. Step 6: Final answer
    x = 47,652.26

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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.