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Finding the Fourth Proportional to 110,615.16, 165,947.32 and 31,723.32

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Solution

The fourth proportional to 110,615.16, 165,947.32 and 31,723.32 is: 47,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,615.16 : 165,947.32 = 31,723.32 : x
  2. Step 2: Convert to fraction form
    110,615.16/165,947.32 = 31,723.32/x
  3. Step 3: Cross multiply
    110,615.16x = 165,947.32 × 31,723.32
  4. Step 4: Simplify right side
    110,615.16x = 5,264,399,935.50
  5. Step 5: Solve for x
    x = 5,264,399,935.50/110,615.16
  6. Step 6: Final answer
    x = 47,592.03

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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.