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Finding the Fourth Proportional to 30,807.78, 42,525.63 and 18,232.50

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Solution

The fourth proportional to 30,807.78, 42,525.63 and 18,232.50 is: 25,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.78 : 42,525.63 = 18,232.50 : x
  2. Step 2: Convert to fraction form
    30,807.78/42,525.63 = 18,232.50/x
  3. Step 3: Cross multiply
    30,807.78x = 42,525.63 × 18,232.50
  4. Step 4: Simplify right side
    30,807.78x = 775,348,548.98
  5. Step 5: Solve for x
    x = 775,348,548.98/30,807.78
  6. Step 6: Final answer
    x = 25,167.30

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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.