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Finding the Fourth Proportional to 30,415.67, 45,623.61 and 9,355.57

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Solution

The fourth proportional to 30,415.67, 45,623.61 and 9,355.57 is: 14,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.67 : 45,623.61 = 9,355.57 : x
  2. Step 2: Convert to fraction form
    30,415.67/45,623.61 = 9,355.57/x
  3. Step 3: Cross multiply
    30,415.67x = 45,623.61 × 9,355.57
  4. Step 4: Simplify right side
    30,415.67x = 426,834,762.95
  5. Step 5: Solve for x
    x = 426,834,762.95/30,415.67
  6. Step 6: Final answer
    x = 14,033.38

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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.