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Finding the Fourth Proportional to 47,462.02, 65,494.38 and 26,238.40

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Solution

The fourth proportional to 47,462.02, 65,494.38 and 26,238.40 is: 36,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462.02 : 65,494.38 = 26,238.40 : x
  2. Step 2: Convert to fraction form
    47,462.02/65,494.38 = 26,238.40/x
  3. Step 3: Cross multiply
    47,462.02x = 65,494.38 × 26,238.40
  4. Step 4: Simplify right side
    47,462.02x = 1,718,467,740.19
  5. Step 5: Solve for x
    x = 1,718,467,740.19/47,462.02
  6. Step 6: Final answer
    x = 36,207.22

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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.