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Finding the Fourth Proportional to 107,109.89, 160,632.45 and 32,210.15

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Solution

The fourth proportional to 107,109.89, 160,632.45 and 32,210.15 is: 48,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,109.89 : 160,632.45 = 32,210.15 : x
  2. Step 2: Convert to fraction form
    107,109.89/160,632.45 = 32,210.15/x
  3. Step 3: Cross multiply
    107,109.89x = 160,632.45 × 32,210.15
  4. Step 4: Simplify right side
    107,109.89x = 5,173,995,309.37
  5. Step 5: Solve for x
    x = 5,173,995,309.37/107,109.89
  6. Step 6: Final answer
    x = 48,305.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.