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Finding the Fourth Proportional to 38,116, 52,600.08 and 21,349.36

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Solution

The fourth proportional to 38,116, 52,600.08 and 21,349.36 is: 29,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116 : 52,600.08 = 21,349.36 : x
  2. Step 2: Convert to fraction form
    38,116/52,600.08 = 21,349.36/x
  3. Step 3: Cross multiply
    38,116x = 52,600.08 × 21,349.36
  4. Step 4: Simplify right side
    38,116x = 1,122,978,043.95
  5. Step 5: Solve for x
    x = 1,122,978,043.95/38,116
  6. Step 6: Final answer
    x = 29,462.12

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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.