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Finding the Fourth Proportional to 30,182.32, 45,207.96 and 18,460

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Solution

The fourth proportional to 30,182.32, 45,207.96 and 18,460 is: 27,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.32 : 45,207.96 = 18,460 : x
  2. Step 2: Convert to fraction form
    30,182.32/45,207.96 = 18,460/x
  3. Step 3: Cross multiply
    30,182.32x = 45,207.96 × 18,460
  4. Step 4: Simplify right side
    30,182.32x = 834,538,941.60
  5. Step 5: Solve for x
    x = 834,538,941.60/30,182.32
  6. Step 6: Final answer
    x = 27,649.93

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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.