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Finding the Fourth Proportional to 33,713.34, 46,541.90 and 24,628.50

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Solution

The fourth proportional to 33,713.34, 46,541.90 and 24,628.50 is: 34,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.34 : 46,541.90 = 24,628.50 : x
  2. Step 2: Convert to fraction form
    33,713.34/46,541.90 = 24,628.50/x
  3. Step 3: Cross multiply
    33,713.34x = 46,541.90 × 24,628.50
  4. Step 4: Simplify right side
    33,713.34x = 1,146,257,107.19
  5. Step 5: Solve for x
    x = 1,146,257,107.19/33,713.34
  6. Step 6: Final answer
    x = 34,000.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.