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Finding the Fourth Proportional to 32,783.99, 49,104.90 and 20,307.15

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Solution

The fourth proportional to 32,783.99, 49,104.90 and 20,307.15 is: 30,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.99 : 49,104.90 = 20,307.15 : x
  2. Step 2: Convert to fraction form
    32,783.99/49,104.90 = 20,307.15/x
  3. Step 3: Cross multiply
    32,783.99x = 49,104.90 × 20,307.15
  4. Step 4: Simplify right side
    32,783.99x = 997,180,570.04
  5. Step 5: Solve for x
    x = 997,180,570.04/32,783.99
  6. Step 6: Final answer
    x = 30,416.70

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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.