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Finding the Fourth Proportional to 94,794.96, 142,200 and 32,466

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Solution

The fourth proportional to 94,794.96, 142,200 and 32,466 is: 48,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,794.96 : 142,200 = 32,466 : x
  2. Step 2: Convert to fraction form
    94,794.96/142,200 = 32,466/x
  3. Step 3: Cross multiply
    94,794.96x = 142,200 × 32,466
  4. Step 4: Simplify right side
    94,794.96x = 4,616,665,200
  5. Step 5: Solve for x
    x = 4,616,665,200/94,794.96
  6. Step 6: Final answer
    x = 48,701.59

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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.