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Finding the Fourth Proportional to 73,185.04, 109,784.04 and 20,594.98

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Solution

The fourth proportional to 73,185.04, 109,784.04 and 20,594.98 is: 30,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,185.04 : 109,784.04 = 20,594.98 : x
  2. Step 2: Convert to fraction form
    73,185.04/109,784.04 = 20,594.98/x
  3. Step 3: Cross multiply
    73,185.04x = 109,784.04 × 20,594.98
  4. Step 4: Simplify right side
    73,185.04x = 2,261,000,108.12
  5. Step 5: Solve for x
    x = 2,261,000,108.12/73,185.04
  6. Step 6: Final answer
    x = 30,894.29

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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.