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Finding the Fourth Proportional to 131,081, 196,622.24 and 32,585

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Solution

The fourth proportional to 131,081, 196,622.24 and 32,585 is: 48,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,081 : 196,622.24 = 32,585 : x
  2. Step 2: Convert to fraction form
    131,081/196,622.24 = 32,585/x
  3. Step 3: Cross multiply
    131,081x = 196,622.24 × 32,585
  4. Step 4: Simplify right side
    131,081x = 6,406,935,690.40
  5. Step 5: Solve for x
    x = 6,406,935,690.40/131,081
  6. Step 6: Final answer
    x = 48,877.68

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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.