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Finding the Fourth Proportional to 47,408.76, 65,424.31 and 25,898.81

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Solution

The fourth proportional to 47,408.76, 65,424.31 and 25,898.81 is: 35,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,408.76 : 65,424.31 = 25,898.81 : x
  2. Step 2: Convert to fraction form
    47,408.76/65,424.31 = 25,898.81/x
  3. Step 3: Cross multiply
    47,408.76x = 65,424.31 × 25,898.81
  4. Step 4: Simplify right side
    47,408.76x = 1,694,411,382.20
  5. Step 5: Solve for x
    x = 1,694,411,382.20/47,408.76
  6. Step 6: Final answer
    x = 35,740.47

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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.