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Finding the Fourth Proportional to 48,368.72, 66,748.78 and 27,148

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Solution

The fourth proportional to 48,368.72, 66,748.78 and 27,148 is: 37,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,368.72 : 66,748.78 = 27,148 : x
  2. Step 2: Convert to fraction form
    48,368.72/66,748.78 = 27,148/x
  3. Step 3: Cross multiply
    48,368.72x = 66,748.78 × 27,148
  4. Step 4: Simplify right side
    48,368.72x = 1,812,095,879.44
  5. Step 5: Solve for x
    x = 1,812,095,879.44/48,368.72
  6. Step 6: Final answer
    x = 37,464.21

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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.