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Finding the Fourth Proportional to 34,602.13, 51,898.49 and 13,527.50

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Solution

The fourth proportional to 34,602.13, 51,898.49 and 13,527.50 is: 20,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.13 : 51,898.49 = 13,527.50 : x
  2. Step 2: Convert to fraction form
    34,602.13/51,898.49 = 13,527.50/x
  3. Step 3: Cross multiply
    34,602.13x = 51,898.49 × 13,527.50
  4. Step 4: Simplify right side
    34,602.13x = 702,056,755.84
  5. Step 5: Solve for x
    x = 702,056,755.84/34,602.13
  6. Step 6: Final answer
    x = 20,289.41

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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.