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Finding the Fourth Proportional to 27,038.70, 37,314.54 and 15,102

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Solution

The fourth proportional to 27,038.70, 37,314.54 and 15,102 is: 20,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.70 : 37,314.54 = 15,102 : x
  2. Step 2: Convert to fraction form
    27,038.70/37,314.54 = 15,102/x
  3. Step 3: Cross multiply
    27,038.70x = 37,314.54 × 15,102
  4. Step 4: Simplify right side
    27,038.70x = 563,524,183.08
  5. Step 5: Solve for x
    x = 563,524,183.08/27,038.70
  6. Step 6: Final answer
    x = 20,841.39

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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.