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Finding the Fourth Proportional to 52,466.20, 78,707.04 and 19,178.48

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Solution

The fourth proportional to 52,466.20, 78,707.04 and 19,178.48 is: 28,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,466.20 : 78,707.04 = 19,178.48 : x
  2. Step 2: Convert to fraction form
    52,466.20/78,707.04 = 19,178.48/x
  3. Step 3: Cross multiply
    52,466.20x = 78,707.04 × 19,178.48
  4. Step 4: Simplify right side
    52,466.20x = 1,509,481,392.50
  5. Step 5: Solve for x
    x = 1,509,481,392.50/52,466.20
  6. Step 6: Final answer
    x = 28,770.55

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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.