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Finding the Fourth Proportional to 30,913.68, 42,657 and 18,336

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Solution

The fourth proportional to 30,913.68, 42,657 and 18,336 is: 25,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.68 : 42,657 = 18,336 : x
  2. Step 2: Convert to fraction form
    30,913.68/42,657 = 18,336/x
  3. Step 3: Cross multiply
    30,913.68x = 42,657 × 18,336
  4. Step 4: Simplify right side
    30,913.68x = 782,158,752
  5. Step 5: Solve for x
    x = 782,158,752/30,913.68
  6. Step 6: Final answer
    x = 25,301.38

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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.