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Finding the Fourth Proportional to 30,880.26, 42,599.10 and 19,530.64

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Solution

The fourth proportional to 30,880.26, 42,599.10 and 19,530.64 is: 26,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.26 : 42,599.10 = 19,530.64 : x
  2. Step 2: Convert to fraction form
    30,880.26/42,599.10 = 19,530.64/x
  3. Step 3: Cross multiply
    30,880.26x = 42,599.10 × 19,530.64
  4. Step 4: Simplify right side
    30,880.26x = 831,987,686.42
  5. Step 5: Solve for x
    x = 831,987,686.42/30,880.26
  6. Step 6: Final answer
    x = 26,942.38

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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.