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Finding the Fourth Proportional to 41,106.98, 61,659.02 and 17,408

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Solution

The fourth proportional to 41,106.98, 61,659.02 and 17,408 is: 26,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106.98 : 61,659.02 = 17,408 : x
  2. Step 2: Convert to fraction form
    41,106.98/61,659.02 = 17,408/x
  3. Step 3: Cross multiply
    41,106.98x = 61,659.02 × 17,408
  4. Step 4: Simplify right side
    41,106.98x = 1,073,360,220.16
  5. Step 5: Solve for x
    x = 1,073,360,220.16/41,106.98
  6. Step 6: Final answer
    x = 26,111.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.