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Finding the Fourth Proportional to 72,983.60, 109,474.32 and 39,695.84

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Solution

The fourth proportional to 72,983.60, 109,474.32 and 39,695.84 is: 59,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983.60 : 109,474.32 = 39,695.84 : x
  2. Step 2: Convert to fraction form
    72,983.60/109,474.32 = 39,695.84/x
  3. Step 3: Cross multiply
    72,983.60x = 109,474.32 × 39,695.84
  4. Step 4: Simplify right side
    72,983.60x = 4,345,675,090.83
  5. Step 5: Solve for x
    x = 4,345,675,090.83/72,983.60
  6. Step 6: Final answer
    x = 59,543.17

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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.