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Finding the Fourth Proportional to 30,670.40, 42,304.02 and 29,641.88

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Solution

The fourth proportional to 30,670.40, 42,304.02 and 29,641.88 is: 40,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.40 : 42,304.02 = 29,641.88 : x
  2. Step 2: Convert to fraction form
    30,670.40/42,304.02 = 29,641.88/x
  3. Step 3: Cross multiply
    30,670.40x = 42,304.02 × 29,641.88
  4. Step 4: Simplify right side
    30,670.40x = 1,253,970,684.36
  5. Step 5: Solve for x
    x = 1,253,970,684.36/30,670.40
  6. Step 6: Final answer
    x = 40,885.37

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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.