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Finding the Fourth Proportional to 38,083.41, 57,124.91 and 9,620.42

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Solution

The fourth proportional to 38,083.41, 57,124.91 and 9,620.42 is: 14,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.41 : 57,124.91 = 9,620.42 : x
  2. Step 2: Convert to fraction form
    38,083.41/57,124.91 = 9,620.42/x
  3. Step 3: Cross multiply
    38,083.41x = 57,124.91 × 9,620.42
  4. Step 4: Simplify right side
    38,083.41x = 549,565,365.09
  5. Step 5: Solve for x
    x = 549,565,365.09/38,083.41
  6. Step 6: Final answer
    x = 14,430.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.