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Finding the Fourth Proportional to 31,022.40, 42,817.08 and 18,444.72

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Solution

The fourth proportional to 31,022.40, 42,817.08 and 18,444.72 is: 25,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.40 : 42,817.08 = 18,444.72 : x
  2. Step 2: Convert to fraction form
    31,022.40/42,817.08 = 18,444.72/x
  3. Step 3: Cross multiply
    31,022.40x = 42,817.08 × 18,444.72
  4. Step 4: Simplify right side
    31,022.40x = 789,749,051.82
  5. Step 5: Solve for x
    x = 789,749,051.82/31,022.40
  6. Step 6: Final answer
    x = 25,457.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.