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Finding the Fourth Proportional to 78,427.90, 108,230.64 and 42,618.34

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Solution

The fourth proportional to 78,427.90, 108,230.64 and 42,618.34 is: 58,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,427.90 : 108,230.64 = 42,618.34 : x
  2. Step 2: Convert to fraction form
    78,427.90/108,230.64 = 42,618.34/x
  3. Step 3: Cross multiply
    78,427.90x = 108,230.64 × 42,618.34
  4. Step 4: Simplify right side
    78,427.90x = 4,612,610,213.94
  5. Step 5: Solve for x
    x = 4,612,610,213.94/78,427.90
  6. Step 6: Final answer
    x = 58,813.38

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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.