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Finding the Fourth Proportional to 30,687.84, 46,037.70 and 11,967.12

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Solution

The fourth proportional to 30,687.84, 46,037.70 and 11,967.12 is: 17,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.84 : 46,037.70 = 11,967.12 : x
  2. Step 2: Convert to fraction form
    30,687.84/46,037.70 = 11,967.12/x
  3. Step 3: Cross multiply
    30,687.84x = 46,037.70 × 11,967.12
  4. Step 4: Simplify right side
    30,687.84x = 550,938,680.42
  5. Step 5: Solve for x
    x = 550,938,680.42/30,687.84
  6. Step 6: Final answer
    x = 17,953.00

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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.