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Finding the Fourth Proportional to 48,512.46, 72,765.72 and 28,533

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Solution

The fourth proportional to 48,512.46, 72,765.72 and 28,533 is: 42,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512.46 : 72,765.72 = 28,533 : x
  2. Step 2: Convert to fraction form
    48,512.46/72,765.72 = 28,533/x
  3. Step 3: Cross multiply
    48,512.46x = 72,765.72 × 28,533
  4. Step 4: Simplify right side
    48,512.46x = 2,076,224,288.76
  5. Step 5: Solve for x
    x = 2,076,224,288.76/48,512.46
  6. Step 6: Final answer
    x = 42,797.75

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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.