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Finding the Fourth Proportional to 48,047.94, 66,299.94 and 26,828.10

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Solution

The fourth proportional to 48,047.94, 66,299.94 and 26,828.10 is: 37,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047.94 : 66,299.94 = 26,828.10 : x
  2. Step 2: Convert to fraction form
    48,047.94/66,299.94 = 26,828.10/x
  3. Step 3: Cross multiply
    48,047.94x = 66,299.94 × 26,828.10
  4. Step 4: Simplify right side
    48,047.94x = 1,778,701,420.31
  5. Step 5: Solve for x
    x = 1,778,701,420.31/48,047.94
  6. Step 6: Final answer
    x = 37,019.31

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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.