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Finding the Fourth Proportional to 110,876.31, 166,290.03 and 31,973.40

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Solution

The fourth proportional to 110,876.31, 166,290.03 and 31,973.40 is: 47,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,876.31 : 166,290.03 = 31,973.40 : x
  2. Step 2: Convert to fraction form
    110,876.31/166,290.03 = 31,973.40/x
  3. Step 3: Cross multiply
    110,876.31x = 166,290.03 × 31,973.40
  4. Step 4: Simplify right side
    110,876.31x = 5,316,857,645.20
  5. Step 5: Solve for x
    x = 5,316,857,645.20/110,876.31
  6. Step 6: Final answer
    x = 47,953.05

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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.