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Finding the Fourth Proportional to 30,762.64, 42,452.84 and 18,187.28

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Solution

The fourth proportional to 30,762.64, 42,452.84 and 18,187.28 is: 25,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.64 : 42,452.84 = 18,187.28 : x
  2. Step 2: Convert to fraction form
    30,762.64/42,452.84 = 18,187.28/x
  3. Step 3: Cross multiply
    30,762.64x = 42,452.84 × 18,187.28
  4. Step 4: Simplify right side
    30,762.64x = 772,101,687.88
  5. Step 5: Solve for x
    x = 772,101,687.88/30,762.64
  6. Step 6: Final answer
    x = 25,098.68

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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.