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Finding the Fourth Proportional to 38,562.74, 57,852 and 16,376.02

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Solution

The fourth proportional to 38,562.74, 57,852 and 16,376.02 is: 24,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.74 : 57,852 = 16,376.02 : x
  2. Step 2: Convert to fraction form
    38,562.74/57,852 = 16,376.02/x
  3. Step 3: Cross multiply
    38,562.74x = 57,852 × 16,376.02
  4. Step 4: Simplify right side
    38,562.74x = 947,385,509.04
  5. Step 5: Solve for x
    x = 947,385,509.04/38,562.74
  6. Step 6: Final answer
    x = 24,567.38

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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.