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Finding the Fourth Proportional to 110,390.40, 165,655.92 and 47,210.88

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Solution

The fourth proportional to 110,390.40, 165,655.92 and 47,210.88 is: 70,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390.40 : 165,655.92 = 47,210.88 : x
  2. Step 2: Convert to fraction form
    110,390.40/165,655.92 = 47,210.88/x
  3. Step 3: Cross multiply
    110,390.40x = 165,655.92 × 47,210.88
  4. Step 4: Simplify right side
    110,390.40x = 7,820,761,760.41
  5. Step 5: Solve for x
    x = 7,820,761,760.41/110,390.40
  6. Step 6: Final answer
    x = 70,846.39

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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.