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Finding the Fourth Proportional to 31,077.79, 42,885.86 and 17,647.27

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Solution

The fourth proportional to 31,077.79, 42,885.86 and 17,647.27 is: 24,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.79 : 42,885.86 = 17,647.27 : x
  2. Step 2: Convert to fraction form
    31,077.79/42,885.86 = 17,647.27/x
  3. Step 3: Cross multiply
    31,077.79x = 42,885.86 × 17,647.27
  4. Step 4: Simplify right side
    31,077.79x = 756,818,155.15
  5. Step 5: Solve for x
    x = 756,818,155.15/31,077.79
  6. Step 6: Final answer
    x = 24,352.38

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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.