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Finding the Fourth Proportional to 117,224.51, 175,834.32 and 28,478.48

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Solution

The fourth proportional to 117,224.51, 175,834.32 and 28,478.48 is: 42,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224.51 : 175,834.32 = 28,478.48 : x
  2. Step 2: Convert to fraction form
    117,224.51/175,834.32 = 28,478.48/x
  3. Step 3: Cross multiply
    117,224.51x = 175,834.32 × 28,478.48
  4. Step 4: Simplify right side
    117,224.51x = 5,007,493,286.26
  5. Step 5: Solve for x
    x = 5,007,493,286.26/117,224.51
  6. Step 6: Final answer
    x = 42,717.12

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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.