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Finding the Fourth Proportional to 174,275, 261,412.46 and 49,616

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Solution

The fourth proportional to 174,275, 261,412.46 and 49,616 is: 74,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,275 : 261,412.46 = 49,616 : x
  2. Step 2: Convert to fraction form
    174,275/261,412.46 = 49,616/x
  3. Step 3: Cross multiply
    174,275x = 261,412.46 × 49,616
  4. Step 4: Simplify right side
    174,275x = 12,970,240,615.36
  5. Step 5: Solve for x
    x = 12,970,240,615.36/174,275
  6. Step 6: Final answer
    x = 74,423.99

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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.