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Finding the Fourth Proportional to 107,509.33, 161,264.50 and 32,630.12

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Solution

The fourth proportional to 107,509.33, 161,264.50 and 32,630.12 is: 48,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509.33 : 161,264.50 = 32,630.12 : x
  2. Step 2: Convert to fraction form
    107,509.33/161,264.50 = 32,630.12/x
  3. Step 3: Cross multiply
    107,509.33x = 161,264.50 × 32,630.12
  4. Step 4: Simplify right side
    107,509.33x = 5,262,079,887.13
  5. Step 5: Solve for x
    x = 5,262,079,887.13/107,509.33
  6. Step 6: Final answer
    x = 48,945.33

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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.