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Finding the Fourth Proportional to 48,354, 66,728.76 and 28,224.84

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Solution

The fourth proportional to 48,354, 66,728.76 and 28,224.84 is: 38,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354 : 66,728.76 = 28,224.84 : x
  2. Step 2: Convert to fraction form
    48,354/66,728.76 = 28,224.84/x
  3. Step 3: Cross multiply
    48,354x = 66,728.76 × 28,224.84
  4. Step 4: Simplify right side
    48,354x = 1,883,408,574.40
  5. Step 5: Solve for x
    x = 1,883,408,574.40/48,354
  6. Step 6: Final answer
    x = 38,950.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.