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Finding the Fourth Proportional to 114,647.40, 171,995.40 and 34,678.80

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Solution

The fourth proportional to 114,647.40, 171,995.40 and 34,678.80 is: 52,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,647.40 : 171,995.40 = 34,678.80 : x
  2. Step 2: Convert to fraction form
    114,647.40/171,995.40 = 34,678.80/x
  3. Step 3: Cross multiply
    114,647.40x = 171,995.40 × 34,678.80
  4. Step 4: Simplify right side
    114,647.40x = 5,964,594,077.52
  5. Step 5: Solve for x
    x = 5,964,594,077.52/114,647.40
  6. Step 6: Final answer
    x = 52,025.55

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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.