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Finding the Fourth Proportional to 38,642.44, 53,325.12 and 21,875.44

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Solution

The fourth proportional to 38,642.44, 53,325.12 and 21,875.44 is: 30,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.44 : 53,325.12 = 21,875.44 : x
  2. Step 2: Convert to fraction form
    38,642.44/53,325.12 = 21,875.44/x
  3. Step 3: Cross multiply
    38,642.44x = 53,325.12 × 21,875.44
  4. Step 4: Simplify right side
    38,642.44x = 1,166,510,463.05
  5. Step 5: Solve for x
    x = 1,166,510,463.05/38,642.44
  6. Step 6: Final answer
    x = 30,187.29

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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.