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Finding the Fourth Proportional to 31,124.64, 42,952 and 16,977.56

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Solution

The fourth proportional to 31,124.64, 42,952 and 16,977.56 is: 23,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.64 : 42,952 = 16,977.56 : x
  2. Step 2: Convert to fraction form
    31,124.64/42,952 = 16,977.56/x
  3. Step 3: Cross multiply
    31,124.64x = 42,952 × 16,977.56
  4. Step 4: Simplify right side
    31,124.64x = 729,220,157.12
  5. Step 5: Solve for x
    x = 729,220,157.12/31,124.64
  6. Step 6: Final answer
    x = 23,429.03

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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.