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Finding the Fourth Proportional to 30,989.52, 42,765.80 and 16,842.36

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Solution

The fourth proportional to 30,989.52, 42,765.80 and 16,842.36 is: 23,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.52 : 42,765.80 = 16,842.36 : x
  2. Step 2: Convert to fraction form
    30,989.52/42,765.80 = 16,842.36/x
  3. Step 3: Cross multiply
    30,989.52x = 42,765.80 × 16,842.36
  4. Step 4: Simplify right side
    30,989.52x = 720,276,999.29
  5. Step 5: Solve for x
    x = 720,276,999.29/30,989.52
  6. Step 6: Final answer
    x = 23,242.60

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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.