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Finding the Fourth Proportional to 74,628, 102,986.64 and 41,094

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Solution

The fourth proportional to 74,628, 102,986.64 and 41,094 is: 56,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,628 : 102,986.64 = 41,094 : x
  2. Step 2: Convert to fraction form
    74,628/102,986.64 = 41,094/x
  3. Step 3: Cross multiply
    74,628x = 102,986.64 × 41,094
  4. Step 4: Simplify right side
    74,628x = 4,232,132,984.16
  5. Step 5: Solve for x
    x = 4,232,132,984.16/74,628
  6. Step 6: Final answer
    x = 56,709.72

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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.