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Finding the Fourth Proportional to 110,412.32, 165,646.08 and 43,830.44

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Solution

The fourth proportional to 110,412.32, 165,646.08 and 43,830.44 is: 65,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,412.32 : 165,646.08 = 43,830.44 : x
  2. Step 2: Convert to fraction form
    110,412.32/165,646.08 = 43,830.44/x
  3. Step 3: Cross multiply
    110,412.32x = 165,646.08 × 43,830.44
  4. Step 4: Simplify right side
    110,412.32x = 7,260,340,570.68
  5. Step 5: Solve for x
    x = 7,260,340,570.68/110,412.32
  6. Step 6: Final answer
    x = 65,756.62

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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.