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Finding the Fourth Proportional to 31,047.76, 42,846.47 and 16,900.84

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Solution

The fourth proportional to 31,047.76, 42,846.47 and 16,900.84 is: 23,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.76 : 42,846.47 = 16,900.84 : x
  2. Step 2: Convert to fraction form
    31,047.76/42,846.47 = 16,900.84/x
  3. Step 3: Cross multiply
    31,047.76x = 42,846.47 × 16,900.84
  4. Step 4: Simplify right side
    31,047.76x = 724,141,334.03
  5. Step 5: Solve for x
    x = 724,141,334.03/31,047.76
  6. Step 6: Final answer
    x = 23,323.46

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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.