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Finding the Fourth Proportional to 30,076.29, 45,114.23 and 23,508

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Solution

The fourth proportional to 30,076.29, 45,114.23 and 23,508 is: 35,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.29 : 45,114.23 = 23,508 : x
  2. Step 2: Convert to fraction form
    30,076.29/45,114.23 = 23,508/x
  3. Step 3: Cross multiply
    30,076.29x = 45,114.23 × 23,508
  4. Step 4: Simplify right side
    30,076.29x = 1,060,545,377.61
  5. Step 5: Solve for x
    x = 1,060,545,377.61/30,076.29
  6. Step 6: Final answer
    x = 35,261.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.