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Finding the Fourth Proportional to 30,531.42, 45,781.65 and 10,807.20

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Solution

The fourth proportional to 30,531.42, 45,781.65 and 10,807.20 is: 16,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.42 : 45,781.65 = 10,807.20 : x
  2. Step 2: Convert to fraction form
    30,531.42/45,781.65 = 10,807.20/x
  3. Step 3: Cross multiply
    30,531.42x = 45,781.65 × 10,807.20
  4. Step 4: Simplify right side
    30,531.42x = 494,771,447.88
  5. Step 5: Solve for x
    x = 494,771,447.88/30,531.42
  6. Step 6: Final answer
    x = 16,205.32

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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.