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Finding the Fourth Proportional to 30,970.08, 42,739.17 and 17,541

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Solution

The fourth proportional to 30,970.08, 42,739.17 and 17,541 is: 24,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.08 : 42,739.17 = 17,541 : x
  2. Step 2: Convert to fraction form
    30,970.08/42,739.17 = 17,541/x
  3. Step 3: Cross multiply
    30,970.08x = 42,739.17 × 17,541
  4. Step 4: Simplify right side
    30,970.08x = 749,687,780.97
  5. Step 5: Solve for x
    x = 749,687,780.97/30,970.08
  6. Step 6: Final answer
    x = 24,206.84

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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.