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Finding the Fourth Proportional to 94,112, 141,168 and 28,448

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Solution

The fourth proportional to 94,112, 141,168 and 28,448 is: 42,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,112 : 141,168 = 28,448 : x
  2. Step 2: Convert to fraction form
    94,112/141,168 = 28,448/x
  3. Step 3: Cross multiply
    94,112x = 141,168 × 28,448
  4. Step 4: Simplify right side
    94,112x = 4,015,947,264
  5. Step 5: Solve for x
    x = 4,015,947,264/94,112
  6. Step 6: Final answer
    x = 42,672

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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.