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Finding the Fourth Proportional to 78,320.75, 108,079.73 and 42,509.99

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Solution

The fourth proportional to 78,320.75, 108,079.73 and 42,509.99 is: 58,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,320.75 : 108,079.73 = 42,509.99 : x
  2. Step 2: Convert to fraction form
    78,320.75/108,079.73 = 42,509.99/x
  3. Step 3: Cross multiply
    78,320.75x = 108,079.73 × 42,509.99
  4. Step 4: Simplify right side
    78,320.75x = 4,594,468,241.50
  5. Step 5: Solve for x
    x = 4,594,468,241.50/78,320.75
  6. Step 6: Final answer
    x = 58,662.21

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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.