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Finding the Fourth Proportional to 32,827.50, 45,285.75 and 20,722.59

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Solution

The fourth proportional to 32,827.50, 45,285.75 and 20,722.59 is: 28,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.50 : 45,285.75 = 20,722.59 : x
  2. Step 2: Convert to fraction form
    32,827.50/45,285.75 = 20,722.59/x
  3. Step 3: Cross multiply
    32,827.50x = 45,285.75 × 20,722.59
  4. Step 4: Simplify right side
    32,827.50x = 938,438,030.09
  5. Step 5: Solve for x
    x = 938,438,030.09/32,827.50
  6. Step 6: Final answer
    x = 28,586.95

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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.