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Finding the Fourth Proportional to 38,728.36, 53,440.02 and 21,731.98

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Solution

The fourth proportional to 38,728.36, 53,440.02 and 21,731.98 is: 29,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.36 : 53,440.02 = 21,731.98 : x
  2. Step 2: Convert to fraction form
    38,728.36/53,440.02 = 21,731.98/x
  3. Step 3: Cross multiply
    38,728.36x = 53,440.02 × 21,731.98
  4. Step 4: Simplify right side
    38,728.36x = 1,161,357,445.84
  5. Step 5: Solve for x
    x = 1,161,357,445.84/38,728.36
  6. Step 6: Final answer
    x = 29,987.26

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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.