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Finding the Fourth Proportional to 117,224.75, 175,837.10 and 28,477.64

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Solution

The fourth proportional to 117,224.75, 175,837.10 and 28,477.64 is: 42,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224.75 : 175,837.10 = 28,477.64 : x
  2. Step 2: Convert to fraction form
    117,224.75/175,837.10 = 28,477.64/x
  3. Step 3: Cross multiply
    117,224.75x = 175,837.10 × 28,477.64
  4. Step 4: Simplify right side
    117,224.75x = 5,007,425,929.65
  5. Step 5: Solve for x
    x = 5,007,425,929.65/117,224.75
  6. Step 6: Final answer
    x = 42,716.46

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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.