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Finding the Fourth Proportional to 38,730.57, 53,448.69 and 21,738.49

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Solution

The fourth proportional to 38,730.57, 53,448.69 and 21,738.49 is: 29,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730.57 : 53,448.69 = 21,738.49 : x
  2. Step 2: Convert to fraction form
    38,730.57/53,448.69 = 21,738.49/x
  3. Step 3: Cross multiply
    38,730.57x = 53,448.69 × 21,738.49
  4. Step 4: Simplify right side
    38,730.57x = 1,161,893,813.08
  5. Step 5: Solve for x
    x = 1,161,893,813.08/38,730.57
  6. Step 6: Final answer
    x = 29,999.40

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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.