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Finding the Fourth Proportional to 32,026.22, 47,975.04 and 29,410.35

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Solution

The fourth proportional to 32,026.22, 47,975.04 and 29,410.35 is: 44,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.22 : 47,975.04 = 29,410.35 : x
  2. Step 2: Convert to fraction form
    32,026.22/47,975.04 = 29,410.35/x
  3. Step 3: Cross multiply
    32,026.22x = 47,975.04 × 29,410.35
  4. Step 4: Simplify right side
    32,026.22x = 1,410,962,717.66
  5. Step 5: Solve for x
    x = 1,410,962,717.66/32,026.22
  6. Step 6: Final answer
    x = 44,056.49

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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.