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Finding the Fourth Proportional to 78,470.40, 108,289.26 and 42,660.84

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Solution

The fourth proportional to 78,470.40, 108,289.26 and 42,660.84 is: 58,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.40 : 108,289.26 = 42,660.84 : x
  2. Step 2: Convert to fraction form
    78,470.40/108,289.26 = 42,660.84/x
  3. Step 3: Cross multiply
    78,470.40x = 108,289.26 × 42,660.84
  4. Step 4: Simplify right side
    78,470.40x = 4,619,710,794.58
  5. Step 5: Solve for x
    x = 4,619,710,794.58/78,470.40
  6. Step 6: Final answer
    x = 58,872.02

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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.