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Finding the Fourth Proportional to 174,391.50, 261,589.71 and 49,732.50

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Solution

The fourth proportional to 174,391.50, 261,589.71 and 49,732.50 is: 74,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,391.50 : 261,589.71 = 49,732.50 : x
  2. Step 2: Convert to fraction form
    174,391.50/261,589.71 = 49,732.50/x
  3. Step 3: Cross multiply
    174,391.50x = 261,589.71 × 49,732.50
  4. Step 4: Simplify right side
    174,391.50x = 13,009,510,252.58
  5. Step 5: Solve for x
    x = 13,009,510,252.58/174,391.50
  6. Step 6: Final answer
    x = 74,599.45

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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.