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Finding the Fourth Proportional to 37,139.16, 51,243.74 and 22,024.14

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Solution

The fourth proportional to 37,139.16, 51,243.74 and 22,024.14 is: 30,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,139.16 : 51,243.74 = 22,024.14 : x
  2. Step 2: Convert to fraction form
    37,139.16/51,243.74 = 22,024.14/x
  3. Step 3: Cross multiply
    37,139.16x = 51,243.74 × 22,024.14
  4. Step 4: Simplify right side
    37,139.16x = 1,128,599,303.88
  5. Step 5: Solve for x
    x = 1,128,599,303.88/37,139.16
  6. Step 6: Final answer
    x = 30,388.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.