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Finding the Fourth Proportional to 30,929.82, 42,683.43 and 16,782.78

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Solution

The fourth proportional to 30,929.82, 42,683.43 and 16,782.78 is: 23,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.82 : 42,683.43 = 16,782.78 : x
  2. Step 2: Convert to fraction form
    30,929.82/42,683.43 = 16,782.78/x
  3. Step 3: Cross multiply
    30,929.82x = 42,683.43 × 16,782.78
  4. Step 4: Simplify right side
    30,929.82x = 716,346,615.34
  5. Step 5: Solve for x
    x = 716,346,615.34/30,929.82
  6. Step 6: Final answer
    x = 23,160.39

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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.