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Finding the Fourth Proportional to 188,624.10, 282,936.24 and 48,382.77

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Solution

The fourth proportional to 188,624.10, 282,936.24 and 48,382.77 is: 72,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,624.10 : 282,936.24 = 48,382.77 : x
  2. Step 2: Convert to fraction form
    188,624.10/282,936.24 = 48,382.77/x
  3. Step 3: Cross multiply
    188,624.10x = 282,936.24 × 48,382.77
  4. Step 4: Simplify right side
    188,624.10x = 13,689,239,024.58
  5. Step 5: Solve for x
    x = 13,689,239,024.58/188,624.10
  6. Step 6: Final answer
    x = 72,574.18

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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.