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Finding the Fourth Proportional to 38,686, 58,032.38 and 10,984

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Solution

The fourth proportional to 38,686, 58,032.38 and 10,984 is: 16,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686 : 58,032.38 = 10,984 : x
  2. Step 2: Convert to fraction form
    38,686/58,032.38 = 10,984/x
  3. Step 3: Cross multiply
    38,686x = 58,032.38 × 10,984
  4. Step 4: Simplify right side
    38,686x = 637,427,661.92
  5. Step 5: Solve for x
    x = 637,427,661.92/38,686
  6. Step 6: Final answer
    x = 16,476.96

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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.