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Finding the Fourth Proportional to 30,877.40, 42,610.76 and 16,730.25

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Solution

The fourth proportional to 30,877.40, 42,610.76 and 16,730.25 is: 23,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.40 : 42,610.76 = 16,730.25 : x
  2. Step 2: Convert to fraction form
    30,877.40/42,610.76 = 16,730.25/x
  3. Step 3: Cross multiply
    30,877.40x = 42,610.76 × 16,730.25
  4. Step 4: Simplify right side
    30,877.40x = 712,888,486.79
  5. Step 5: Solve for x
    x = 712,888,486.79/30,877.40
  6. Step 6: Final answer
    x = 23,087.71

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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.