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Finding the Fourth Proportional to 30,182.32, 45,261.96 and 16,323.76

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Solution

The fourth proportional to 30,182.32, 45,261.96 and 16,323.76 is: 24,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.32 : 45,261.96 = 16,323.76 : x
  2. Step 2: Convert to fraction form
    30,182.32/45,261.96 = 16,323.76/x
  3. Step 3: Cross multiply
    30,182.32x = 45,261.96 × 16,323.76
  4. Step 4: Simplify right side
    30,182.32x = 738,845,372.17
  5. Step 5: Solve for x
    x = 738,845,372.17/30,182.32
  6. Step 6: Final answer
    x = 24,479.41

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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.