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Finding the Fourth Proportional to 38,422.35, 57,655.40 and 30,680.37

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Solution

The fourth proportional to 38,422.35, 57,655.40 and 30,680.37 is: 46,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.35 : 57,655.40 = 30,680.37 : x
  2. Step 2: Convert to fraction form
    38,422.35/57,655.40 = 30,680.37/x
  3. Step 3: Cross multiply
    38,422.35x = 57,655.40 × 30,680.37
  4. Step 4: Simplify right side
    38,422.35x = 1,768,889,004.50
  5. Step 5: Solve for x
    x = 1,768,889,004.50/38,422.35
  6. Step 6: Final answer
    x = 46,038.02

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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.