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Finding the Fourth Proportional to 30,901.52, 42,644 and 16,754.36

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Solution

The fourth proportional to 30,901.52, 42,644 and 16,754.36 is: 23,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.52 : 42,644 = 16,754.36 : x
  2. Step 2: Convert to fraction form
    30,901.52/42,644 = 16,754.36/x
  3. Step 3: Cross multiply
    30,901.52x = 42,644 × 16,754.36
  4. Step 4: Simplify right side
    30,901.52x = 714,472,927.84
  5. Step 5: Solve for x
    x = 714,472,927.84/30,901.52
  6. Step 6: Final answer
    x = 23,120.96

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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.