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Finding the Fourth Proportional to 27,598.60, 41,408.70 and 10,070.20

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Solution

The fourth proportional to 27,598.60, 41,408.70 and 10,070.20 is: 15,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.60 : 41,408.70 = 10,070.20 : x
  2. Step 2: Convert to fraction form
    27,598.60/41,408.70 = 10,070.20/x
  3. Step 3: Cross multiply
    27,598.60x = 41,408.70 × 10,070.20
  4. Step 4: Simplify right side
    27,598.60x = 416,993,890.74
  5. Step 5: Solve for x
    x = 416,993,890.74/27,598.60
  6. Step 6: Final answer
    x = 15,109.24

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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.