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Finding the Fourth Proportional to 38,184.58, 52,695 and 21,188.88

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Solution

The fourth proportional to 38,184.58, 52,695 and 21,188.88 is: 29,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184.58 : 52,695 = 21,188.88 : x
  2. Step 2: Convert to fraction form
    38,184.58/52,695 = 21,188.88/x
  3. Step 3: Cross multiply
    38,184.58x = 52,695 × 21,188.88
  4. Step 4: Simplify right side
    38,184.58x = 1,116,548,031.60
  5. Step 5: Solve for x
    x = 1,116,548,031.60/38,184.58
  6. Step 6: Final answer
    x = 29,240.81

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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.