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Finding the Fourth Proportional to 30,877.62, 42,611.32 and 16,730.58

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Solution

The fourth proportional to 30,877.62, 42,611.32 and 16,730.58 is: 23,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.62 : 42,611.32 = 16,730.58 : x
  2. Step 2: Convert to fraction form
    30,877.62/42,611.32 = 16,730.58/x
  3. Step 3: Cross multiply
    30,877.62x = 42,611.32 × 16,730.58
  4. Step 4: Simplify right side
    30,877.62x = 712,912,098.17
  5. Step 5: Solve for x
    x = 712,912,098.17/30,877.62
  6. Step 6: Final answer
    x = 23,088.31

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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.