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Finding the Fourth Proportional to 30,773.90, 42,466.77 and 17,347.88

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Solution

The fourth proportional to 30,773.90, 42,466.77 and 17,347.88 is: 23,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.90 : 42,466.77 = 17,347.88 : x
  2. Step 2: Convert to fraction form
    30,773.90/42,466.77 = 17,347.88/x
  3. Step 3: Cross multiply
    30,773.90x = 42,466.77 × 17,347.88
  4. Step 4: Simplify right side
    30,773.90x = 736,708,429.95
  5. Step 5: Solve for x
    x = 736,708,429.95/30,773.90
  6. Step 6: Final answer
    x = 23,939.39

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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.