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Finding the Fourth Proportional to 38,527.98, 57,796.58 and 16,338.47

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Solution

The fourth proportional to 38,527.98, 57,796.58 and 16,338.47 is: 24,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.98 : 57,796.58 = 16,338.47 : x
  2. Step 2: Convert to fraction form
    38,527.98/57,796.58 = 16,338.47/x
  3. Step 3: Cross multiply
    38,527.98x = 57,796.58 × 16,338.47
  4. Step 4: Simplify right side
    38,527.98x = 944,307,688.43
  5. Step 5: Solve for x
    x = 944,307,688.43/38,527.98
  6. Step 6: Final answer
    x = 24,509.66

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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.