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Finding the Fourth Proportional to 38,642.74, 57,953.40 and 13,679.50

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Solution

The fourth proportional to 38,642.74, 57,953.40 and 13,679.50 is: 20,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.74 : 57,953.40 = 13,679.50 : x
  2. Step 2: Convert to fraction form
    38,642.74/57,953.40 = 13,679.50/x
  3. Step 3: Cross multiply
    38,642.74x = 57,953.40 × 13,679.50
  4. Step 4: Simplify right side
    38,642.74x = 792,773,607.74
  5. Step 5: Solve for x
    x = 792,773,607.74/38,642.74
  6. Step 6: Final answer
    x = 20,515.46

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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.