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Finding the Fourth Proportional to 105,265, 157,975.26 and 49,861

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Solution

The fourth proportional to 105,265, 157,975.26 and 49,861 is: 74,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,265 : 157,975.26 = 49,861 : x
  2. Step 2: Convert to fraction form
    105,265/157,975.26 = 49,861/x
  3. Step 3: Cross multiply
    105,265x = 157,975.26 × 49,861
  4. Step 4: Simplify right side
    105,265x = 7,876,804,438.86
  5. Step 5: Solve for x
    x = 7,876,804,438.86/105,265
  6. Step 6: Final answer
    x = 74,828.33

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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.