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Finding the Fourth Proportional to 68,416.69, 102,583.12 and 24,048.54

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Solution

The fourth proportional to 68,416.69, 102,583.12 and 24,048.54 is: 36,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416.69 : 102,583.12 = 24,048.54 : x
  2. Step 2: Convert to fraction form
    68,416.69/102,583.12 = 24,048.54/x
  3. Step 3: Cross multiply
    68,416.69x = 102,583.12 × 24,048.54
  4. Step 4: Simplify right side
    68,416.69x = 2,466,974,264.64
  5. Step 5: Solve for x
    x = 2,466,974,264.64/68,416.69
  6. Step 6: Final answer
    x = 36,058.08

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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.