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Finding the Fourth Proportional to 47,078.96, 64,972.96 and 25,862.64

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Solution

The fourth proportional to 47,078.96, 64,972.96 and 25,862.64 is: 35,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078.96 : 64,972.96 = 25,862.64 : x
  2. Step 2: Convert to fraction form
    47,078.96/64,972.96 = 25,862.64/x
  3. Step 3: Cross multiply
    47,078.96x = 64,972.96 × 25,862.64
  4. Step 4: Simplify right side
    47,078.96x = 1,680,372,274.21
  5. Step 5: Solve for x
    x = 1,680,372,274.21/47,078.96
  6. Step 6: Final answer
    x = 35,692.64

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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.