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Finding the Fourth Proportional to 38,665.72, 53,361.66 and 21,901.24

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Solution

The fourth proportional to 38,665.72, 53,361.66 and 21,901.24 is: 30,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.72 : 53,361.66 = 21,901.24 : x
  2. Step 2: Convert to fraction form
    38,665.72/53,361.66 = 21,901.24/x
  3. Step 3: Cross multiply
    38,665.72x = 53,361.66 × 21,901.24
  4. Step 4: Simplify right side
    38,665.72x = 1,168,686,522.46
  5. Step 5: Solve for x
    x = 1,168,686,522.46/38,665.72
  6. Step 6: Final answer
    x = 30,225.39

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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.