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Finding the Fourth Proportional to 110,538.81, 165,807.68 and 31,653

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Solution

The fourth proportional to 110,538.81, 165,807.68 and 31,653 is: 47,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,538.81 : 165,807.68 = 31,653 : x
  2. Step 2: Convert to fraction form
    110,538.81/165,807.68 = 31,653/x
  3. Step 3: Cross multiply
    110,538.81x = 165,807.68 × 31,653
  4. Step 4: Simplify right side
    110,538.81x = 5,248,310,336.78
  5. Step 5: Solve for x
    x = 5,248,310,336.78/110,538.81
  6. Step 6: Final answer
    x = 47,479.35

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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.