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Finding the Fourth Proportional to 38,289.65, 57,421.71 and 16,098.89

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Solution

The fourth proportional to 38,289.65, 57,421.71 and 16,098.89 is: 24,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289.65 : 57,421.71 = 16,098.89 : x
  2. Step 2: Convert to fraction form
    38,289.65/57,421.71 = 16,098.89/x
  3. Step 3: Cross multiply
    38,289.65x = 57,421.71 × 16,098.89
  4. Step 4: Simplify right side
    38,289.65x = 924,425,505.79
  5. Step 5: Solve for x
    x = 924,425,505.79/38,289.65
  6. Step 6: Final answer
    x = 24,142.96

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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.