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Finding the Fourth Proportional to 31,146.42, 42,980.43 and 16,999.02

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Solution

The fourth proportional to 31,146.42, 42,980.43 and 16,999.02 is: 23,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.42 : 42,980.43 = 16,999.02 : x
  2. Step 2: Convert to fraction form
    31,146.42/42,980.43 = 16,999.02/x
  3. Step 3: Cross multiply
    31,146.42x = 42,980.43 × 16,999.02
  4. Step 4: Simplify right side
    31,146.42x = 730,625,189.18
  5. Step 5: Solve for x
    x = 730,625,189.18/31,146.42
  6. Step 6: Final answer
    x = 23,457.76

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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.