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Finding the Fourth Proportional to 39,089, 58,633.50 and 17,201

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Solution

The fourth proportional to 39,089, 58,633.50 and 17,201 is: 25,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089 : 58,633.50 = 17,201 : x
  2. Step 2: Convert to fraction form
    39,089/58,633.50 = 17,201/x
  3. Step 3: Cross multiply
    39,089x = 58,633.50 × 17,201
  4. Step 4: Simplify right side
    39,089x = 1,008,554,833.50
  5. Step 5: Solve for x
    x = 1,008,554,833.50/39,089
  6. Step 6: Final answer
    x = 25,801.50

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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.