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Finding the Fourth Proportional to 10,033, 15,050.26 and 3,012.47

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Solution

The fourth proportional to 10,033, 15,050.26 and 3,012.47 is: 4,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 15,050.26 = 3,012.47 : x
  2. Step 2: Convert to fraction form
    10,033/15,050.26 = 3,012.47/x
  3. Step 3: Cross multiply
    10,033x = 15,050.26 × 3,012.47
  4. Step 4: Simplify right side
    10,033x = 45,338,456.74
  5. Step 5: Solve for x
    x = 45,338,456.74/10,033
  6. Step 6: Final answer
    x = 4,518.93

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Why These Related Problems?

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