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Finding the Fourth Proportional to 39,395, 59,092.50 and 11,693

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Solution

The fourth proportional to 39,395, 59,092.50 and 11,693 is: 17,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,395 : 59,092.50 = 11,693 : x
  2. Step 2: Convert to fraction form
    39,395/59,092.50 = 11,693/x
  3. Step 3: Cross multiply
    39,395x = 59,092.50 × 11,693
  4. Step 4: Simplify right side
    39,395x = 690,968,602.50
  5. Step 5: Solve for x
    x = 690,968,602.50/39,395
  6. Step 6: Final answer
    x = 17,539.50

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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.