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Finding the Fourth Proportional to 78,765.40, 108,694.92 and 42,955.48

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Solution

The fourth proportional to 78,765.40, 108,694.92 and 42,955.48 is: 59,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765.40 : 108,694.92 = 42,955.48 : x
  2. Step 2: Convert to fraction form
    78,765.40/108,694.92 = 42,955.48/x
  3. Step 3: Cross multiply
    78,765.40x = 108,694.92 × 42,955.48
  4. Step 4: Simplify right side
    78,765.40x = 4,669,042,462.16
  5. Step 5: Solve for x
    x = 4,669,042,462.16/78,765.40
  6. Step 6: Final answer
    x = 59,277.84

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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.