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Finding the Fourth Proportional to 39,083.59, 58,628.10 and 15,710

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Solution

The fourth proportional to 39,083.59, 58,628.10 and 15,710 is: 23,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083.59 : 58,628.10 = 15,710 : x
  2. Step 2: Convert to fraction form
    39,083.59/58,628.10 = 15,710/x
  3. Step 3: Cross multiply
    39,083.59x = 58,628.10 × 15,710
  4. Step 4: Simplify right side
    39,083.59x = 921,047,451
  5. Step 5: Solve for x
    x = 921,047,451/39,083.59
  6. Step 6: Final answer
    x = 23,566.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.