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Finding the Fourth Proportional to 30,104.32, 45,090.96 and 18,382

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Solution

The fourth proportional to 30,104.32, 45,090.96 and 18,382 is: 27,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.32 : 45,090.96 = 18,382 : x
  2. Step 2: Convert to fraction form
    30,104.32/45,090.96 = 18,382/x
  3. Step 3: Cross multiply
    30,104.32x = 45,090.96 × 18,382
  4. Step 4: Simplify right side
    30,104.32x = 828,862,026.72
  5. Step 5: Solve for x
    x = 828,862,026.72/30,104.32
  6. Step 6: Final answer
    x = 27,532.99

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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.