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Finding the Fourth Proportional to 30,830.55, 46,245.82 and 7,456.98

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Solution

The fourth proportional to 30,830.55, 46,245.82 and 7,456.98 is: 11,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.55 : 46,245.82 = 7,456.98 : x
  2. Step 2: Convert to fraction form
    30,830.55/46,245.82 = 7,456.98/x
  3. Step 3: Cross multiply
    30,830.55x = 46,245.82 × 7,456.98
  4. Step 4: Simplify right side
    30,830.55x = 344,854,154.82
  5. Step 5: Solve for x
    x = 344,854,154.82/30,830.55
  6. Step 6: Final answer
    x = 11,185.47

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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.