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Finding the Fourth Proportional to 10,070.78, 15,105.69 and 3,050.48

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Solution

The fourth proportional to 10,070.78, 15,105.69 and 3,050.48 is: 4,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.78 : 15,105.69 = 3,050.48 : x
  2. Step 2: Convert to fraction form
    10,070.78/15,105.69 = 3,050.48/x
  3. Step 3: Cross multiply
    10,070.78x = 15,105.69 × 3,050.48
  4. Step 4: Simplify right side
    10,070.78x = 46,079,605.23
  5. Step 5: Solve for x
    x = 46,079,605.23/10,070.78
  6. Step 6: Final answer
    x = 4,575.57

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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.