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Finding the Fourth Proportional to 44,042.91, 66,071.25 and 14,454

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Solution

The fourth proportional to 44,042.91, 66,071.25 and 14,454 is: 21,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,042.91 : 66,071.25 = 14,454 : x
  2. Step 2: Convert to fraction form
    44,042.91/66,071.25 = 14,454/x
  3. Step 3: Cross multiply
    44,042.91x = 66,071.25 × 14,454
  4. Step 4: Simplify right side
    44,042.91x = 954,993,847.50
  5. Step 5: Solve for x
    x = 954,993,847.50/44,042.91
  6. Step 6: Final answer
    x = 21,683.26

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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.