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Finding the Fourth Proportional to 30,877.58, 42,611.16 and 16,730.38

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Solution

The fourth proportional to 30,877.58, 42,611.16 and 16,730.38 is: 23,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.58 : 42,611.16 = 16,730.38 : x
  2. Step 2: Convert to fraction form
    30,877.58/42,611.16 = 16,730.38/x
  3. Step 3: Cross multiply
    30,877.58x = 42,611.16 × 16,730.38
  4. Step 4: Simplify right side
    30,877.58x = 712,900,899.04
  5. Step 5: Solve for x
    x = 712,900,899.04/30,877.58
  6. Step 6: Final answer
    x = 23,087.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.