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Finding the Fourth Proportional to 34,001.20, 50,927.76 and 16,434

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Solution

The fourth proportional to 34,001.20, 50,927.76 and 16,434 is: 24,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001.20 : 50,927.76 = 16,434 : x
  2. Step 2: Convert to fraction form
    34,001.20/50,927.76 = 16,434/x
  3. Step 3: Cross multiply
    34,001.20x = 50,927.76 × 16,434
  4. Step 4: Simplify right side
    34,001.20x = 836,946,807.84
  5. Step 5: Solve for x
    x = 836,946,807.84/34,001.20
  6. Step 6: Final answer
    x = 24,615.21

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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.