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Finding the Fourth Proportional to 45,684, 68,555.16 and 24,907.50

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Solution

The fourth proportional to 45,684, 68,555.16 and 24,907.50 is: 37,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,684 : 68,555.16 = 24,907.50 : x
  2. Step 2: Convert to fraction form
    45,684/68,555.16 = 24,907.50/x
  3. Step 3: Cross multiply
    45,684x = 68,555.16 × 24,907.50
  4. Step 4: Simplify right side
    45,684x = 1,707,537,647.70
  5. Step 5: Solve for x
    x = 1,707,537,647.70/45,684
  6. Step 6: Final answer
    x = 37,377.15

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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.