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Finding the Fourth Proportional to 51,105, 70,514.28 and 29,880.16

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Solution

The fourth proportional to 51,105, 70,514.28 and 29,880.16 is: 41,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105 : 70,514.28 = 29,880.16 : x
  2. Step 2: Convert to fraction form
    51,105/70,514.28 = 29,880.16/x
  3. Step 3: Cross multiply
    51,105x = 70,514.28 × 29,880.16
  4. Step 4: Simplify right side
    51,105x = 2,106,977,968.68
  5. Step 5: Solve for x
    x = 2,106,977,968.68/51,105
  6. Step 6: Final answer
    x = 41,228.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.