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Finding the Fourth Proportional to 31,125.64, 42,953.38 and 16,978.56

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Solution

The fourth proportional to 31,125.64, 42,953.38 and 16,978.56 is: 23,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.64 : 42,953.38 = 16,978.56 : x
  2. Step 2: Convert to fraction form
    31,125.64/42,953.38 = 16,978.56/x
  3. Step 3: Cross multiply
    31,125.64x = 42,953.38 × 16,978.56
  4. Step 4: Simplify right side
    31,125.64x = 729,286,539.53
  5. Step 5: Solve for x
    x = 729,286,539.53/31,125.64
  6. Step 6: Final answer
    x = 23,430.41

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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.