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Finding the Fourth Proportional to 94,792.96, 142,197 and 32,464

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Solution

The fourth proportional to 94,792.96, 142,197 and 32,464 is: 48,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,792.96 : 142,197 = 32,464 : x
  2. Step 2: Convert to fraction form
    94,792.96/142,197 = 32,464/x
  3. Step 3: Cross multiply
    94,792.96x = 142,197 × 32,464
  4. Step 4: Simplify right side
    94,792.96x = 4,616,283,408
  5. Step 5: Solve for x
    x = 4,616,283,408/94,792.96
  6. Step 6: Final answer
    x = 48,698.59

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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.