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Finding the Fourth Proportional to 30,873.78, 42,601.32 and 17,262

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Solution

The fourth proportional to 30,873.78, 42,601.32 and 17,262 is: 23,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.78 : 42,601.32 = 17,262 : x
  2. Step 2: Convert to fraction form
    30,873.78/42,601.32 = 17,262/x
  3. Step 3: Cross multiply
    30,873.78x = 42,601.32 × 17,262
  4. Step 4: Simplify right side
    30,873.78x = 735,383,985.84
  5. Step 5: Solve for x
    x = 735,383,985.84/30,873.78
  6. Step 6: Final answer
    x = 23,819.05

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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.