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Finding the Fourth Proportional to 41,024.87, 61,547.70 and 11,442.70

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Solution

The fourth proportional to 41,024.87, 61,547.70 and 11,442.70 is: 17,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024.87 : 61,547.70 = 11,442.70 : x
  2. Step 2: Convert to fraction form
    41,024.87/61,547.70 = 11,442.70/x
  3. Step 3: Cross multiply
    41,024.87x = 61,547.70 × 11,442.70
  4. Step 4: Simplify right side
    41,024.87x = 704,271,922.27
  5. Step 5: Solve for x
    x = 704,271,922.27/41,024.87
  6. Step 6: Final answer
    x = 17,166.95

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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.