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Finding the Fourth Proportional to 30,770.90, 42,462.96 and 17,341.92

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Solution

The fourth proportional to 30,770.90, 42,462.96 and 17,341.92 is: 23,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.90 : 42,462.96 = 17,341.92 : x
  2. Step 2: Convert to fraction form
    30,770.90/42,462.96 = 17,341.92/x
  3. Step 3: Cross multiply
    30,770.90x = 42,462.96 × 17,341.92
  4. Step 4: Simplify right side
    30,770.90x = 736,389,255.28
  5. Step 5: Solve for x
    x = 736,389,255.28/30,770.90
  6. Step 6: Final answer
    x = 23,931.35

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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.