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Finding the Fourth Proportional to 107,783.16, 161,693.10 and 36,698.28

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Solution

The fourth proportional to 107,783.16, 161,693.10 and 36,698.28 is: 55,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,783.16 : 161,693.10 = 36,698.28 : x
  2. Step 2: Convert to fraction form
    107,783.16/161,693.10 = 36,698.28/x
  3. Step 3: Cross multiply
    107,783.16x = 161,693.10 × 36,698.28
  4. Step 4: Simplify right side
    107,783.16x = 5,933,858,657.87
  5. Step 5: Solve for x
    x = 5,933,858,657.87/107,783.16
  6. Step 6: Final answer
    x = 55,053.67

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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.