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Finding the Fourth Proportional to 38,537.66, 57,771.47 and 14,830.08

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Solution

The fourth proportional to 38,537.66, 57,771.47 and 14,830.08 is: 22,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.66 : 57,771.47 = 14,830.08 : x
  2. Step 2: Convert to fraction form
    38,537.66/57,771.47 = 14,830.08/x
  3. Step 3: Cross multiply
    38,537.66x = 57,771.47 × 14,830.08
  4. Step 4: Simplify right side
    38,537.66x = 856,755,447.67
  5. Step 5: Solve for x
    x = 856,755,447.67/38,537.66
  6. Step 6: Final answer
    x = 22,231.64

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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.