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Finding the Fourth Proportional to 32,031.66, 44,190.98 and 21,404.46

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Solution

The fourth proportional to 32,031.66, 44,190.98 and 21,404.46 is: 29,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.66 : 44,190.98 = 21,404.46 : x
  2. Step 2: Convert to fraction form
    32,031.66/44,190.98 = 21,404.46/x
  3. Step 3: Cross multiply
    32,031.66x = 44,190.98 × 21,404.46
  4. Step 4: Simplify right side
    32,031.66x = 945,884,063.77
  5. Step 5: Solve for x
    x = 945,884,063.77/32,031.66
  6. Step 6: Final answer
    x = 29,529.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.