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Finding the Fourth Proportional to 37,038.72, 51,113.44 and 20,271.68

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Solution

The fourth proportional to 37,038.72, 51,113.44 and 20,271.68 is: 27,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.72 : 51,113.44 = 20,271.68 : x
  2. Step 2: Convert to fraction form
    37,038.72/51,113.44 = 20,271.68/x
  3. Step 3: Cross multiply
    37,038.72x = 51,113.44 × 20,271.68
  4. Step 4: Simplify right side
    37,038.72x = 1,036,155,299.38
  5. Step 5: Solve for x
    x = 1,036,155,299.38/37,038.72
  6. Step 6: Final answer
    x = 27,974.92

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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.