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Finding the Fourth Proportional to 48,022.52, 66,271.67 and 27,880.25

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Solution

The fourth proportional to 48,022.52, 66,271.67 and 27,880.25 is: 38,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,022.52 : 66,271.67 = 27,880.25 : x
  2. Step 2: Convert to fraction form
    48,022.52/66,271.67 = 27,880.25/x
  3. Step 3: Cross multiply
    48,022.52x = 66,271.67 × 27,880.25
  4. Step 4: Simplify right side
    48,022.52x = 1,847,670,256.76
  5. Step 5: Solve for x
    x = 1,847,670,256.76/48,022.52
  6. Step 6: Final answer
    x = 38,475.08

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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.