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Finding the Fourth Proportional to 174,434, 261,653.52 and 49,775

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Solution

The fourth proportional to 174,434, 261,653.52 and 49,775 is: 74,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,434 : 261,653.52 = 49,775 : x
  2. Step 2: Convert to fraction form
    174,434/261,653.52 = 49,775/x
  3. Step 3: Cross multiply
    174,434x = 261,653.52 × 49,775
  4. Step 4: Simplify right side
    174,434x = 13,023,803,958
  5. Step 5: Solve for x
    x = 13,023,803,958/174,434
  6. Step 6: Final answer
    x = 74,663.22

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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.