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Finding the Fourth Proportional to 73,957.40, 110,936.10 and 65,209.40

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Solution

The fourth proportional to 73,957.40, 110,936.10 and 65,209.40 is: 97,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,957.40 : 110,936.10 = 65,209.40 : x
  2. Step 2: Convert to fraction form
    73,957.40/110,936.10 = 65,209.40/x
  3. Step 3: Cross multiply
    73,957.40x = 110,936.10 × 65,209.40
  4. Step 4: Simplify right side
    73,957.40x = 7,234,076,519.34
  5. Step 5: Solve for x
    x = 7,234,076,519.34/73,957.40
  6. Step 6: Final answer
    x = 97,814.10

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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.