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Finding the Fourth Proportional to 32,515, 48,772.42 and 12,782.72

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Solution

The fourth proportional to 32,515, 48,772.42 and 12,782.72 is: 19,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515 : 48,772.42 = 12,782.72 : x
  2. Step 2: Convert to fraction form
    32,515/48,772.42 = 12,782.72/x
  3. Step 3: Cross multiply
    32,515x = 48,772.42 × 12,782.72
  4. Step 4: Simplify right side
    32,515x = 623,444,188.58
  5. Step 5: Solve for x
    x = 623,444,188.58/32,515
  6. Step 6: Final answer
    x = 19,174.05

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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.