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Finding the Fourth Proportional to 110,352.40, 165,530.14 and 31,466.63

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Solution

The fourth proportional to 110,352.40, 165,530.14 and 31,466.63 is: 47,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352.40 : 165,530.14 = 31,466.63 : x
  2. Step 2: Convert to fraction form
    110,352.40/165,530.14 = 31,466.63/x
  3. Step 3: Cross multiply
    110,352.40x = 165,530.14 × 31,466.63
  4. Step 4: Simplify right side
    110,352.40x = 5,208,676,004.39
  5. Step 5: Solve for x
    x = 5,208,676,004.39/110,352.40
  6. Step 6: Final answer
    x = 47,200.39

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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.