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Finding the Fourth Proportional to 110,034.49, 165,062.93 and 37,978.02

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Solution

The fourth proportional to 110,034.49, 165,062.93 and 37,978.02 is: 56,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,034.49 : 165,062.93 = 37,978.02 : x
  2. Step 2: Convert to fraction form
    110,034.49/165,062.93 = 37,978.02/x
  3. Step 3: Cross multiply
    110,034.49x = 165,062.93 × 37,978.02
  4. Step 4: Simplify right side
    110,034.49x = 6,268,763,685.89
  5. Step 5: Solve for x
    x = 6,268,763,685.89/110,034.49
  6. Step 6: Final answer
    x = 56,970.90

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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.