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Finding the Fourth Proportional to 30,735.61, 46,104.32 and 12,014.89

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Solution

The fourth proportional to 30,735.61, 46,104.32 and 12,014.89 is: 18,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.61 : 46,104.32 = 12,014.89 : x
  2. Step 2: Convert to fraction form
    30,735.61/46,104.32 = 12,014.89/x
  3. Step 3: Cross multiply
    30,735.61x = 46,104.32 × 12,014.89
  4. Step 4: Simplify right side
    30,735.61x = 553,938,248.10
  5. Step 5: Solve for x
    x = 553,938,248.10/30,735.61
  6. Step 6: Final answer
    x = 18,022.69

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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.