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Finding the Fourth Proportional to 32,382.72, 48,574.08 and 18,522

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Solution

The fourth proportional to 32,382.72, 48,574.08 and 18,522 is: 27,783

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.72 : 48,574.08 = 18,522 : x
  2. Step 2: Convert to fraction form
    32,382.72/48,574.08 = 18,522/x
  3. Step 3: Cross multiply
    32,382.72x = 48,574.08 × 18,522
  4. Step 4: Simplify right side
    32,382.72x = 899,689,109.76
  5. Step 5: Solve for x
    x = 899,689,109.76/32,382.72
  6. Step 6: Final answer
    x = 27,783

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.