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Finding the Fourth Proportional to 30,738.30, 46,101.15 and 8,546.10

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Solution

The fourth proportional to 30,738.30, 46,101.15 and 8,546.10 is: 12,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.30 : 46,101.15 = 8,546.10 : x
  2. Step 2: Convert to fraction form
    30,738.30/46,101.15 = 8,546.10/x
  3. Step 3: Cross multiply
    30,738.30x = 46,101.15 × 8,546.10
  4. Step 4: Simplify right side
    30,738.30x = 393,985,038.02
  5. Step 5: Solve for x
    x = 393,985,038.02/30,738.30
  6. Step 6: Final answer
    x = 12,817.40

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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.