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Finding the Fourth Proportional to 30,159.90, 45,195.30 and 21,857.40

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Solution

The fourth proportional to 30,159.90, 45,195.30 and 21,857.40 is: 32,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.90 : 45,195.30 = 21,857.40 : x
  2. Step 2: Convert to fraction form
    30,159.90/45,195.30 = 21,857.40/x
  3. Step 3: Cross multiply
    30,159.90x = 45,195.30 × 21,857.40
  4. Step 4: Simplify right side
    30,159.90x = 987,851,750.22
  5. Step 5: Solve for x
    x = 987,851,750.22/30,159.90
  6. Step 6: Final answer
    x = 32,753.81

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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.