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Finding the Fourth Proportional to 110,034.74, 165,063.30 and 37,978.28

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Solution

The fourth proportional to 110,034.74, 165,063.30 and 37,978.28 is: 56,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,034.74 : 165,063.30 = 37,978.28 : x
  2. Step 2: Convert to fraction form
    110,034.74/165,063.30 = 37,978.28/x
  3. Step 3: Cross multiply
    110,034.74x = 165,063.30 × 37,978.28
  4. Step 4: Simplify right side
    110,034.74x = 6,268,819,399.81
  5. Step 5: Solve for x
    x = 6,268,819,399.81/110,034.74
  6. Step 6: Final answer
    x = 56,971.27

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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.