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Finding the Fourth Proportional to 30,974.64, 42,666.84 and 24,989.56

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Solution

The fourth proportional to 30,974.64, 42,666.84 and 24,989.56 is: 34,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.64 : 42,666.84 = 24,989.56 : x
  2. Step 2: Convert to fraction form
    30,974.64/42,666.84 = 24,989.56/x
  3. Step 3: Cross multiply
    30,974.64x = 42,666.84 × 24,989.56
  4. Step 4: Simplify right side
    30,974.64x = 1,066,225,558.19
  5. Step 5: Solve for x
    x = 1,066,225,558.19/30,974.64
  6. Step 6: Final answer
    x = 34,422.53

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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.