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Finding the Fourth Proportional to 47,580.48, 71,322.12 and 16,389

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Solution

The fourth proportional to 47,580.48, 71,322.12 and 16,389 is: 24,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580.48 : 71,322.12 = 16,389 : x
  2. Step 2: Convert to fraction form
    47,580.48/71,322.12 = 16,389/x
  3. Step 3: Cross multiply
    47,580.48x = 71,322.12 × 16,389
  4. Step 4: Simplify right side
    47,580.48x = 1,168,898,224.68
  5. Step 5: Solve for x
    x = 1,168,898,224.68/47,580.48
  6. Step 6: Final answer
    x = 24,566.76

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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.