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Finding the Fourth Proportional to 57,401.62, 86,102.31 and 15,848.50

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Solution

The fourth proportional to 57,401.62, 86,102.31 and 15,848.50 is: 23,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,401.62 : 86,102.31 = 15,848.50 : x
  2. Step 2: Convert to fraction form
    57,401.62/86,102.31 = 15,848.50/x
  3. Step 3: Cross multiply
    57,401.62x = 86,102.31 × 15,848.50
  4. Step 4: Simplify right side
    57,401.62x = 1,364,592,460.04
  5. Step 5: Solve for x
    x = 1,364,592,460.04/57,401.62
  6. Step 6: Final answer
    x = 23,772.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.