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Finding the Fourth Proportional to 30,875.93, 42,608.22 and 17,446.89

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Solution

The fourth proportional to 30,875.93, 42,608.22 and 17,446.89 is: 24,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.93 : 42,608.22 = 17,446.89 : x
  2. Step 2: Convert to fraction form
    30,875.93/42,608.22 = 17,446.89/x
  3. Step 3: Cross multiply
    30,875.93x = 42,608.22 × 17,446.89
  4. Step 4: Simplify right side
    30,875.93x = 743,381,000.09
  5. Step 5: Solve for x
    x = 743,381,000.09/30,875.93
  6. Step 6: Final answer
    x = 24,076.40

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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.