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Finding the Fourth Proportional to 110,567.94, 165,846.15 and 35,686.68

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Solution

The fourth proportional to 110,567.94, 165,846.15 and 35,686.68 is: 53,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,567.94 : 165,846.15 = 35,686.68 : x
  2. Step 2: Convert to fraction form
    110,567.94/165,846.15 = 35,686.68/x
  3. Step 3: Cross multiply
    110,567.94x = 165,846.15 × 35,686.68
  4. Step 4: Simplify right side
    110,567.94x = 5,918,498,484.28
  5. Step 5: Solve for x
    x = 5,918,498,484.28/110,567.94
  6. Step 6: Final answer
    x = 53,528.16

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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.