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Finding the Fourth Proportional to 47,551.34, 65,621.88 and 26,042

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Solution

The fourth proportional to 47,551.34, 65,621.88 and 26,042 is: 35,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,551.34 : 65,621.88 = 26,042 : x
  2. Step 2: Convert to fraction form
    47,551.34/65,621.88 = 26,042/x
  3. Step 3: Cross multiply
    47,551.34x = 65,621.88 × 26,042
  4. Step 4: Simplify right side
    47,551.34x = 1,708,924,998.96
  5. Step 5: Solve for x
    x = 1,708,924,998.96/47,551.34
  6. Step 6: Final answer
    x = 35,938.52

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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.