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Finding the Fourth Proportional to 47,203.52, 65,140.89 and 25,983.14

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Solution

The fourth proportional to 47,203.52, 65,140.89 and 25,983.14 is: 35,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.52 : 65,140.89 = 25,983.14 : x
  2. Step 2: Convert to fraction form
    47,203.52/65,140.89 = 25,983.14/x
  3. Step 3: Cross multiply
    47,203.52x = 65,140.89 × 25,983.14
  4. Step 4: Simplify right side
    47,203.52x = 1,692,564,864.59
  5. Step 5: Solve for x
    x = 1,692,564,864.59/47,203.52
  6. Step 6: Final answer
    x = 35,856.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.