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Finding the Fourth Proportional to 37,097.96, 55,661.10 and 22,317.32

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Solution

The fourth proportional to 37,097.96, 55,661.10 and 22,317.32 is: 33,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.96 : 55,661.10 = 22,317.32 : x
  2. Step 2: Convert to fraction form
    37,097.96/55,661.10 = 22,317.32/x
  3. Step 3: Cross multiply
    37,097.96x = 55,661.10 × 22,317.32
  4. Step 4: Simplify right side
    37,097.96x = 1,242,206,580.25
  5. Step 5: Solve for x
    x = 1,242,206,580.25/37,097.96
  6. Step 6: Final answer
    x = 33,484.50

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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.