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Finding the Fourth Proportional to 48,533.46, 66,978.35 and 27,314.10

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Solution

The fourth proportional to 48,533.46, 66,978.35 and 27,314.10 is: 37,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533.46 : 66,978.35 = 27,314.10 : x
  2. Step 2: Convert to fraction form
    48,533.46/66,978.35 = 27,314.10/x
  3. Step 3: Cross multiply
    48,533.46x = 66,978.35 × 27,314.10
  4. Step 4: Simplify right side
    48,533.46x = 1,829,453,213.16
  5. Step 5: Solve for x
    x = 1,829,453,213.16/48,533.46
  6. Step 6: Final answer
    x = 37,694.68

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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.