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Finding the Fourth Proportional to 110,596.64, 165,865.60 and 40,476.48

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Solution

The fourth proportional to 110,596.64, 165,865.60 and 40,476.48 is: 60,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596.64 : 165,865.60 = 40,476.48 : x
  2. Step 2: Convert to fraction form
    110,596.64/165,865.60 = 40,476.48/x
  3. Step 3: Cross multiply
    110,596.64x = 165,865.60 × 40,476.48
  4. Step 4: Simplify right side
    110,596.64x = 6,713,655,641.09
  5. Step 5: Solve for x
    x = 6,713,655,641.09/110,596.64
  6. Step 6: Final answer
    x = 60,703.97

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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.