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Finding the Fourth Proportional to 38,702.29, 53,418.66 and 23,603.28

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Solution

The fourth proportional to 38,702.29, 53,418.66 and 23,603.28 is: 32,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.29 : 53,418.66 = 23,603.28 : x
  2. Step 2: Convert to fraction form
    38,702.29/53,418.66 = 23,603.28/x
  3. Step 3: Cross multiply
    38,702.29x = 53,418.66 × 23,603.28
  4. Step 4: Simplify right side
    38,702.29x = 1,260,855,589.20
  5. Step 5: Solve for x
    x = 1,260,855,589.20/38,702.29
  6. Step 6: Final answer
    x = 32,578.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.