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Finding the Fourth Proportional to 188,624.52, 282,930.06 and 48,384.52

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Solution

The fourth proportional to 188,624.52, 282,930.06 and 48,384.52 is: 72,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,624.52 : 282,930.06 = 48,384.52 : x
  2. Step 2: Convert to fraction form
    188,624.52/282,930.06 = 48,384.52/x
  3. Step 3: Cross multiply
    188,624.52x = 282,930.06 × 48,384.52
  4. Step 4: Simplify right side
    188,624.52x = 13,689,435,146.67
  5. Step 5: Solve for x
    x = 13,689,435,146.67/188,624.52
  6. Step 6: Final answer
    x = 72,575.06

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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.