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Finding the Fourth Proportional to 34,335.72, 47,384.46 and 20,189.88

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Solution

The fourth proportional to 34,335.72, 47,384.46 and 20,189.88 is: 27,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335.72 : 47,384.46 = 20,189.88 : x
  2. Step 2: Convert to fraction form
    34,335.72/47,384.46 = 20,189.88/x
  3. Step 3: Cross multiply
    34,335.72x = 47,384.46 × 20,189.88
  4. Step 4: Simplify right side
    34,335.72x = 956,686,561.26
  5. Step 5: Solve for x
    x = 956,686,561.26/34,335.72
  6. Step 6: Final answer
    x = 27,862.72

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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.