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Finding the Fourth Proportional to 30,838.82, 42,555.18 and 17,411.40

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Solution

The fourth proportional to 30,838.82, 42,555.18 and 17,411.40 is: 24,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.82 : 42,555.18 = 17,411.40 : x
  2. Step 2: Convert to fraction form
    30,838.82/42,555.18 = 17,411.40/x
  3. Step 3: Cross multiply
    30,838.82x = 42,555.18 × 17,411.40
  4. Step 4: Simplify right side
    30,838.82x = 740,945,326.34
  5. Step 5: Solve for x
    x = 740,945,326.34/30,838.82
  6. Step 6: Final answer
    x = 24,026.39

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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.