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Finding the Fourth Proportional to 47,612.40, 65,709 and 26,397.96

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Solution

The fourth proportional to 47,612.40, 65,709 and 26,397.96 is: 36,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,612.40 : 65,709 = 26,397.96 : x
  2. Step 2: Convert to fraction form
    47,612.40/65,709 = 26,397.96/x
  3. Step 3: Cross multiply
    47,612.40x = 65,709 × 26,397.96
  4. Step 4: Simplify right side
    47,612.40x = 1,734,583,553.64
  5. Step 5: Solve for x
    x = 1,734,583,553.64/47,612.40
  6. Step 6: Final answer
    x = 36,431.34

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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.