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Finding the Fourth Proportional to 32,596.83, 48,894.33 and 10,411.54

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Solution

The fourth proportional to 32,596.83, 48,894.33 and 10,411.54 is: 15,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.83 : 48,894.33 = 10,411.54 : x
  2. Step 2: Convert to fraction form
    32,596.83/48,894.33 = 10,411.54/x
  3. Step 3: Cross multiply
    32,596.83x = 48,894.33 × 10,411.54
  4. Step 4: Simplify right side
    32,596.83x = 509,065,189.38
  5. Step 5: Solve for x
    x = 509,065,189.38/32,596.83
  6. Step 6: Final answer
    x = 15,617.02

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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.