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Finding the Fourth Proportional to 30,875.79, 42,615.59 and 17,454.84

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Solution

The fourth proportional to 30,875.79, 42,615.59 and 17,454.84 is: 24,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.79 : 42,615.59 = 17,454.84 : x
  2. Step 2: Convert to fraction form
    30,875.79/42,615.59 = 17,454.84/x
  3. Step 3: Cross multiply
    30,875.79x = 42,615.59 × 17,454.84
  4. Step 4: Simplify right side
    30,875.79x = 743,848,304.96
  5. Step 5: Solve for x
    x = 743,848,304.96/30,875.79
  6. Step 6: Final answer
    x = 24,091.64

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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.