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Finding the Fourth Proportional to 39,846.92, 59,742.63 and 17,648.26

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Solution

The fourth proportional to 39,846.92, 59,742.63 and 17,648.26 is: 26,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.92 : 59,742.63 = 17,648.26 : x
  2. Step 2: Convert to fraction form
    39,846.92/59,742.63 = 17,648.26/x
  3. Step 3: Cross multiply
    39,846.92x = 59,742.63 × 17,648.26
  4. Step 4: Simplify right side
    39,846.92x = 1,054,353,463.08
  5. Step 5: Solve for x
    x = 1,054,353,463.08/39,846.92
  6. Step 6: Final answer
    x = 26,460.10

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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.