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Finding the Fourth Proportional to 74,548, 102,876.24 and 41,014

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Solution

The fourth proportional to 74,548, 102,876.24 and 41,014 is: 56,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548 : 102,876.24 = 41,014 : x
  2. Step 2: Convert to fraction form
    74,548/102,876.24 = 41,014/x
  3. Step 3: Cross multiply
    74,548x = 102,876.24 × 41,014
  4. Step 4: Simplify right side
    74,548x = 4,219,366,107.36
  5. Step 5: Solve for x
    x = 4,219,366,107.36/74,548
  6. Step 6: Final answer
    x = 56,599.32

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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.