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Finding the Fourth Proportional to 47,637.90, 65,744.34 and 26,424

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Solution

The fourth proportional to 47,637.90, 65,744.34 and 26,424 is: 36,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,637.90 : 65,744.34 = 26,424 : x
  2. Step 2: Convert to fraction form
    47,637.90/65,744.34 = 26,424/x
  3. Step 3: Cross multiply
    47,637.90x = 65,744.34 × 26,424
  4. Step 4: Simplify right side
    47,637.90x = 1,737,228,440.16
  5. Step 5: Solve for x
    x = 1,737,228,440.16/47,637.90
  6. Step 6: Final answer
    x = 36,467.36

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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.