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Finding the Fourth Proportional to 72,724.80, 109,029.60 and 39,892.80

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Solution

The fourth proportional to 72,724.80, 109,029.60 and 39,892.80 is: 59,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,724.80 : 109,029.60 = 39,892.80 : x
  2. Step 2: Convert to fraction form
    72,724.80/109,029.60 = 39,892.80/x
  3. Step 3: Cross multiply
    72,724.80x = 109,029.60 × 39,892.80
  4. Step 4: Simplify right side
    72,724.80x = 4,349,496,026.88
  5. Step 5: Solve for x
    x = 4,349,496,026.88/72,724.80
  6. Step 6: Final answer
    x = 59,807.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.