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Finding the Fourth Proportional to 97,671.08, 146,506.62 and 35,327

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Solution

The fourth proportional to 97,671.08, 146,506.62 and 35,327 is: 52,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671.08 : 146,506.62 = 35,327 : x
  2. Step 2: Convert to fraction form
    97,671.08/146,506.62 = 35,327/x
  3. Step 3: Cross multiply
    97,671.08x = 146,506.62 × 35,327
  4. Step 4: Simplify right side
    97,671.08x = 5,175,639,364.74
  5. Step 5: Solve for x
    x = 5,175,639,364.74/97,671.08
  6. Step 6: Final answer
    x = 52,990.50

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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.