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Finding the Fourth Proportional to 188,626.24, 282,939.52 and 48,384.88

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Solution

The fourth proportional to 188,626.24, 282,939.52 and 48,384.88 is: 72,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,626.24 : 282,939.52 = 48,384.88 : x
  2. Step 2: Convert to fraction form
    188,626.24/282,939.52 = 48,384.88/x
  3. Step 3: Cross multiply
    188,626.24x = 282,939.52 × 48,384.88
  4. Step 4: Simplify right side
    188,626.24x = 13,689,994,722.46
  5. Step 5: Solve for x
    x = 13,689,994,722.46/188,626.24
  6. Step 6: Final answer
    x = 72,577.36

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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.