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Finding the Fourth Proportional to 30,773.40, 42,466.08 and 17,347.38

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Solution

The fourth proportional to 30,773.40, 42,466.08 and 17,347.38 is: 23,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.40 : 42,466.08 = 17,347.38 : x
  2. Step 2: Convert to fraction form
    30,773.40/42,466.08 = 17,347.38/x
  3. Step 3: Cross multiply
    30,773.40x = 42,466.08 × 17,347.38
  4. Step 4: Simplify right side
    30,773.40x = 736,675,226.87
  5. Step 5: Solve for x
    x = 736,675,226.87/30,773.40
  6. Step 6: Final answer
    x = 23,938.70

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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.