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Finding the Fourth Proportional to 38,454.40, 53,058 and 21,684.16

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Solution

The fourth proportional to 38,454.40, 53,058 and 21,684.16 is: 29,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.40 : 53,058 = 21,684.16 : x
  2. Step 2: Convert to fraction form
    38,454.40/53,058 = 21,684.16/x
  3. Step 3: Cross multiply
    38,454.40x = 53,058 × 21,684.16
  4. Step 4: Simplify right side
    38,454.40x = 1,150,518,161.28
  5. Step 5: Solve for x
    x = 1,150,518,161.28/38,454.40
  6. Step 6: Final answer
    x = 29,919.03

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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.