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Finding the Fourth Proportional to 110,420.29, 165,656.86 and 35,547.43

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Solution

The fourth proportional to 110,420.29, 165,656.86 and 35,547.43 is: 53,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,420.29 : 165,656.86 = 35,547.43 : x
  2. Step 2: Convert to fraction form
    110,420.29/165,656.86 = 35,547.43/x
  3. Step 3: Cross multiply
    110,420.29x = 165,656.86 × 35,547.43
  4. Step 4: Simplify right side
    110,420.29x = 5,888,675,442.47
  5. Step 5: Solve for x
    x = 5,888,675,442.47/110,420.29
  6. Step 6: Final answer
    x = 53,329.65

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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.