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Finding the Fourth Proportional to 30,142.84, 45,217.89 and 14,549.50

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Solution

The fourth proportional to 30,142.84, 45,217.89 and 14,549.50 is: 21,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.84 : 45,217.89 = 14,549.50 : x
  2. Step 2: Convert to fraction form
    30,142.84/45,217.89 = 14,549.50/x
  3. Step 3: Cross multiply
    30,142.84x = 45,217.89 × 14,549.50
  4. Step 4: Simplify right side
    30,142.84x = 657,897,690.56
  5. Step 5: Solve for x
    x = 657,897,690.56/30,142.84
  6. Step 6: Final answer
    x = 21,826.00

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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.