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Finding the Fourth Proportional to 32,185.84, 44,416.38 and 19,610.60

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Solution

The fourth proportional to 32,185.84, 44,416.38 and 19,610.60 is: 27,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.84 : 44,416.38 = 19,610.60 : x
  2. Step 2: Convert to fraction form
    32,185.84/44,416.38 = 19,610.60/x
  3. Step 3: Cross multiply
    32,185.84x = 44,416.38 × 19,610.60
  4. Step 4: Simplify right side
    32,185.84x = 871,031,861.63
  5. Step 5: Solve for x
    x = 871,031,861.63/32,185.84
  6. Step 6: Final answer
    x = 27,062.58

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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.