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Finding the Fourth Proportional to 74,630, 102,989.40 and 41,096

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Solution

The fourth proportional to 74,630, 102,989.40 and 41,096 is: 56,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630 : 102,989.40 = 41,096 : x
  2. Step 2: Convert to fraction form
    74,630/102,989.40 = 41,096/x
  3. Step 3: Cross multiply
    74,630x = 102,989.40 × 41,096
  4. Step 4: Simplify right side
    74,630x = 4,232,452,382.40
  5. Step 5: Solve for x
    x = 4,232,452,382.40/74,630
  6. Step 6: Final answer
    x = 56,712.48

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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.