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Finding the Fourth Proportional to 30,877.68, 42,610.63 and 17,448.64

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Solution

The fourth proportional to 30,877.68, 42,610.63 and 17,448.64 is: 24,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.68 : 42,610.63 = 17,448.64 : x
  2. Step 2: Convert to fraction form
    30,877.68/42,610.63 = 17,448.64/x
  3. Step 3: Cross multiply
    30,877.68x = 42,610.63 × 17,448.64
  4. Step 4: Simplify right side
    30,877.68x = 743,497,543.04
  5. Step 5: Solve for x
    x = 743,497,543.04/30,877.68
  6. Step 6: Final answer
    x = 24,078.80

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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.