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Finding the Fourth Proportional to 33,984.65, 50,903.06 and 16,417.50

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Solution

The fourth proportional to 33,984.65, 50,903.06 and 16,417.50 is: 24,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.65 : 50,903.06 = 16,417.50 : x
  2. Step 2: Convert to fraction form
    33,984.65/50,903.06 = 16,417.50/x
  3. Step 3: Cross multiply
    33,984.65x = 50,903.06 × 16,417.50
  4. Step 4: Simplify right side
    33,984.65x = 835,700,905.46
  5. Step 5: Solve for x
    x = 835,700,905.46/33,984.65
  6. Step 6: Final answer
    x = 24,590.54

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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.