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Finding the Fourth Proportional to 41,783.74, 62,678.52 and 16,823.98

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Solution

The fourth proportional to 41,783.74, 62,678.52 and 16,823.98 is: 25,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.74 : 62,678.52 = 16,823.98 : x
  2. Step 2: Convert to fraction form
    41,783.74/62,678.52 = 16,823.98/x
  3. Step 3: Cross multiply
    41,783.74x = 62,678.52 × 16,823.98
  4. Step 4: Simplify right side
    41,783.74x = 1,054,502,166.91
  5. Step 5: Solve for x
    x = 1,054,502,166.91/41,783.74
  6. Step 6: Final answer
    x = 25,237.14

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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.