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Finding the Fourth Proportional to 110,212.16, 165,217.44 and 47,860.16

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Solution

The fourth proportional to 110,212.16, 165,217.44 and 47,860.16 is: 71,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,212.16 : 165,217.44 = 47,860.16 : x
  2. Step 2: Convert to fraction form
    110,212.16/165,217.44 = 47,860.16/x
  3. Step 3: Cross multiply
    110,212.16x = 165,217.44 × 47,860.16
  4. Step 4: Simplify right side
    110,212.16x = 7,907,333,113.19
  5. Step 5: Solve for x
    x = 7,907,333,113.19/110,212.16
  6. Step 6: Final answer
    x = 71,746.47

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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.