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Finding the Fourth Proportional to 174,351.24, 261,526.86 and 49,689

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Solution

The fourth proportional to 174,351.24, 261,526.86 and 49,689 is: 74,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,351.24 : 261,526.86 = 49,689 : x
  2. Step 2: Convert to fraction form
    174,351.24/261,526.86 = 49,689/x
  3. Step 3: Cross multiply
    174,351.24x = 261,526.86 × 49,689
  4. Step 4: Simplify right side
    174,351.24x = 12,995,008,146.54
  5. Step 5: Solve for x
    x = 12,995,008,146.54/174,351.24
  6. Step 6: Final answer
    x = 74,533.50

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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.