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Finding the Fourth Proportional to 32,589.69, 48,895.46 and 10,406.22

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Solution

The fourth proportional to 32,589.69, 48,895.46 and 10,406.22 is: 15,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.69 : 48,895.46 = 10,406.22 : x
  2. Step 2: Convert to fraction form
    32,589.69/48,895.46 = 10,406.22/x
  3. Step 3: Cross multiply
    32,589.69x = 48,895.46 × 10,406.22
  4. Step 4: Simplify right side
    32,589.69x = 508,816,913.76
  5. Step 5: Solve for x
    x = 508,816,913.76/32,589.69
  6. Step 6: Final answer
    x = 15,612.82

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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.