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Finding the Fourth Proportional to 30,658.41, 46,000.58 and 13,136.49

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Solution

The fourth proportional to 30,658.41, 46,000.58 and 13,136.49 is: 19,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.41 : 46,000.58 = 13,136.49 : x
  2. Step 2: Convert to fraction form
    30,658.41/46,000.58 = 13,136.49/x
  3. Step 3: Cross multiply
    30,658.41x = 46,000.58 × 13,136.49
  4. Step 4: Simplify right side
    30,658.41x = 604,286,093.48
  5. Step 5: Solve for x
    x = 604,286,093.48/30,658.41
  6. Step 6: Final answer
    x = 19,710.29

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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.