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Finding the Fourth Proportional to 30,782.79, 42,658.72 and 30,192.21

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Solution

The fourth proportional to 30,782.79, 42,658.72 and 30,192.21 is: 41,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.79 : 42,658.72 = 30,192.21 : x
  2. Step 2: Convert to fraction form
    30,782.79/42,658.72 = 30,192.21/x
  3. Step 3: Cross multiply
    30,782.79x = 42,658.72 × 30,192.21
  4. Step 4: Simplify right side
    30,782.79x = 1,287,960,957.09
  5. Step 5: Solve for x
    x = 1,287,960,957.09/30,782.79
  6. Step 6: Final answer
    x = 41,840.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.