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Finding the Fourth Proportional to 174,427, 261,643.02 and 49,768

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Solution

The fourth proportional to 174,427, 261,643.02 and 49,768 is: 74,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,427 : 261,643.02 = 49,768 : x
  2. Step 2: Convert to fraction form
    174,427/261,643.02 = 49,768/x
  3. Step 3: Cross multiply
    174,427x = 261,643.02 × 49,768
  4. Step 4: Simplify right side
    174,427x = 13,021,449,819.36
  5. Step 5: Solve for x
    x = 13,021,449,819.36/174,427
  6. Step 6: Final answer
    x = 74,652.72

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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.