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Finding the Fourth Proportional to 57,584, 86,376 and 16,032.08

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Solution

The fourth proportional to 57,584, 86,376 and 16,032.08 is: 24,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584 : 86,376 = 16,032.08 : x
  2. Step 2: Convert to fraction form
    57,584/86,376 = 16,032.08/x
  3. Step 3: Cross multiply
    57,584x = 86,376 × 16,032.08
  4. Step 4: Simplify right side
    57,584x = 1,384,786,942.08
  5. Step 5: Solve for x
    x = 1,384,786,942.08/57,584
  6. Step 6: Final answer
    x = 24,048.12

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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.