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Finding the Fourth Proportional to 107,873.47, 161,810.16 and 32,993.63

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Solution

The fourth proportional to 107,873.47, 161,810.16 and 32,993.63 is: 49,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,873.47 : 161,810.16 = 32,993.63 : x
  2. Step 2: Convert to fraction form
    107,873.47/161,810.16 = 32,993.63/x
  3. Step 3: Cross multiply
    107,873.47x = 161,810.16 × 32,993.63
  4. Step 4: Simplify right side
    107,873.47x = 5,338,704,223.29
  5. Step 5: Solve for x
    x = 5,338,704,223.29/107,873.47
  6. Step 6: Final answer
    x = 49,490.43

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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.