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Finding the Fourth Proportional to 38,102.14, 52,580.87 and 21,335.14

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Solution

The fourth proportional to 38,102.14, 52,580.87 and 21,335.14 is: 29,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.14 : 52,580.87 = 21,335.14 : x
  2. Step 2: Convert to fraction form
    38,102.14/52,580.87 = 21,335.14/x
  3. Step 3: Cross multiply
    38,102.14x = 52,580.87 × 21,335.14
  4. Step 4: Simplify right side
    38,102.14x = 1,121,820,222.77
  5. Step 5: Solve for x
    x = 1,121,820,222.77/38,102.14
  6. Step 6: Final answer
    x = 29,442.45

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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.