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Finding the Fourth Proportional to 38,602.32, 53,272.14 and 21,606.42

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Solution

The fourth proportional to 38,602.32, 53,272.14 and 21,606.42 is: 29,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.32 : 53,272.14 = 21,606.42 : x
  2. Step 2: Convert to fraction form
    38,602.32/53,272.14 = 21,606.42/x
  3. Step 3: Cross multiply
    38,602.32x = 53,272.14 × 21,606.42
  4. Step 4: Simplify right side
    38,602.32x = 1,151,020,231.14
  5. Step 5: Solve for x
    x = 1,151,020,231.14/38,602.32
  6. Step 6: Final answer
    x = 29,817.38

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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.