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Finding the Fourth Proportional to 131,018.78, 196,528.14 and 32,522.78

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Solution

The fourth proportional to 131,018.78, 196,528.14 and 32,522.78 is: 48,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,018.78 : 196,528.14 = 32,522.78 : x
  2. Step 2: Convert to fraction form
    131,018.78/196,528.14 = 32,522.78/x
  3. Step 3: Cross multiply
    131,018.78x = 196,528.14 × 32,522.78
  4. Step 4: Simplify right side
    131,018.78x = 6,391,641,461.03
  5. Step 5: Solve for x
    x = 6,391,641,461.03/131,018.78
  6. Step 6: Final answer
    x = 48,784.16

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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.