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Finding the Fourth Proportional to 32,728.57, 49,095.66 and 9,036.11

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Solution

The fourth proportional to 32,728.57, 49,095.66 and 9,036.11 is: 13,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.57 : 49,095.66 = 9,036.11 : x
  2. Step 2: Convert to fraction form
    32,728.57/49,095.66 = 9,036.11/x
  3. Step 3: Cross multiply
    32,728.57x = 49,095.66 × 9,036.11
  4. Step 4: Simplify right side
    32,728.57x = 443,633,722.91
  5. Step 5: Solve for x
    x = 443,633,722.91/32,728.57
  6. Step 6: Final answer
    x = 13,554.94

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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.