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Finding the Fourth Proportional to 30,982.64, 42,759.69 and 18,407.40

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Solution

The fourth proportional to 30,982.64, 42,759.69 and 18,407.40 is: 25,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.64 : 42,759.69 = 18,407.40 : x
  2. Step 2: Convert to fraction form
    30,982.64/42,759.69 = 18,407.40/x
  3. Step 3: Cross multiply
    30,982.64x = 42,759.69 × 18,407.40
  4. Step 4: Simplify right side
    30,982.64x = 787,094,717.71
  5. Step 5: Solve for x
    x = 787,094,717.71/30,982.64
  6. Step 6: Final answer
    x = 25,404.38

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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.