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Finding the Fourth Proportional to 117,114.90, 175,657.80 and 32,881.68

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Solution

The fourth proportional to 117,114.90, 175,657.80 and 32,881.68 is: 49,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.90 : 175,657.80 = 32,881.68 : x
  2. Step 2: Convert to fraction form
    117,114.90/175,657.80 = 32,881.68/x
  3. Step 3: Cross multiply
    117,114.90x = 175,657.80 × 32,881.68
  4. Step 4: Simplify right side
    117,114.90x = 5,775,923,569.10
  5. Step 5: Solve for x
    x = 5,775,923,569.10/117,114.90
  6. Step 6: Final answer
    x = 49,318.43

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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.