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Finding the Fourth Proportional to 115,967.54, 174,000.82 and 49,439

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Solution

The fourth proportional to 115,967.54, 174,000.82 and 49,439 is: 74,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,967.54 : 174,000.82 = 49,439 : x
  2. Step 2: Convert to fraction form
    115,967.54/174,000.82 = 49,439/x
  3. Step 3: Cross multiply
    115,967.54x = 174,000.82 × 49,439
  4. Step 4: Simplify right side
    115,967.54x = 8,602,426,539.98
  5. Step 5: Solve for x
    x = 8,602,426,539.98/115,967.54
  6. Step 6: Final answer
    x = 74,179.61

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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.