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Finding the Fourth Proportional to 44,328.91, 66,512.86 and 23,264

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Solution

The fourth proportional to 44,328.91, 66,512.86 and 23,264 is: 34,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,328.91 : 66,512.86 = 23,264 : x
  2. Step 2: Convert to fraction form
    44,328.91/66,512.86 = 23,264/x
  3. Step 3: Cross multiply
    44,328.91x = 66,512.86 × 23,264
  4. Step 4: Simplify right side
    44,328.91x = 1,547,355,175.04
  5. Step 5: Solve for x
    x = 1,547,355,175.04/44,328.91
  6. Step 6: Final answer
    x = 34,906.23

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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.