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Finding the Fourth Proportional to 39,431.52, 59,147.28 and 23,004

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Solution

The fourth proportional to 39,431.52, 59,147.28 and 23,004 is: 34,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,431.52 : 59,147.28 = 23,004 : x
  2. Step 2: Convert to fraction form
    39,431.52/59,147.28 = 23,004/x
  3. Step 3: Cross multiply
    39,431.52x = 59,147.28 × 23,004
  4. Step 4: Simplify right side
    39,431.52x = 1,360,624,029.12
  5. Step 5: Solve for x
    x = 1,360,624,029.12/39,431.52
  6. Step 6: Final answer
    x = 34,506

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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.