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Finding the Fourth Proportional to 31,094.72, 42,900 and 21,659.84

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Solution

The fourth proportional to 31,094.72, 42,900 and 21,659.84 is: 29,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.72 : 42,900 = 21,659.84 : x
  2. Step 2: Convert to fraction form
    31,094.72/42,900 = 21,659.84/x
  3. Step 3: Cross multiply
    31,094.72x = 42,900 × 21,659.84
  4. Step 4: Simplify right side
    31,094.72x = 929,207,136
  5. Step 5: Solve for x
    x = 929,207,136/31,094.72
  6. Step 6: Final answer
    x = 29,883.12

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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.