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Finding the Fourth Proportional to 30,574.40, 42,195.12 and 18,001.60

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Solution

The fourth proportional to 30,574.40, 42,195.12 and 18,001.60 is: 24,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.40 : 42,195.12 = 18,001.60 : x
  2. Step 2: Convert to fraction form
    30,574.40/42,195.12 = 18,001.60/x
  3. Step 3: Cross multiply
    30,574.40x = 42,195.12 × 18,001.60
  4. Step 4: Simplify right side
    30,574.40x = 759,579,672.19
  5. Step 5: Solve for x
    x = 759,579,672.19/30,574.40
  6. Step 6: Final answer
    x = 24,843.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.