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Finding the Fourth Proportional to 30,677.04, 46,014.24 and 9,616.61

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Solution

The fourth proportional to 30,677.04, 46,014.24 and 9,616.61 is: 14,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.04 : 46,014.24 = 9,616.61 : x
  2. Step 2: Convert to fraction form
    30,677.04/46,014.24 = 9,616.61/x
  3. Step 3: Cross multiply
    30,677.04x = 46,014.24 × 9,616.61
  4. Step 4: Simplify right side
    30,677.04x = 442,501,000.53
  5. Step 5: Solve for x
    x = 442,501,000.53/30,677.04
  6. Step 6: Final answer
    x = 14,424.50

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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.