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Finding the Fourth Proportional to 175,989.65, 264,034.17 and 49,631.09

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Solution

The fourth proportional to 175,989.65, 264,034.17 and 49,631.09 is: 74,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,989.65 : 264,034.17 = 49,631.09 : x
  2. Step 2: Convert to fraction form
    175,989.65/264,034.17 = 49,631.09/x
  3. Step 3: Cross multiply
    175,989.65x = 264,034.17 × 49,631.09
  4. Step 4: Simplify right side
    175,989.65x = 13,104,302,334.17
  5. Step 5: Solve for x
    x = 13,104,302,334.17/175,989.65
  6. Step 6: Final answer
    x = 74,460.64

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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.