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Finding the Fourth Proportional to 73,086.30, 109,672.65 and 53,315.10

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Solution

The fourth proportional to 73,086.30, 109,672.65 and 53,315.10 is: 80,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,086.30 : 109,672.65 = 53,315.10 : x
  2. Step 2: Convert to fraction form
    73,086.30/109,672.65 = 53,315.10/x
  3. Step 3: Cross multiply
    73,086.30x = 109,672.65 × 53,315.10
  4. Step 4: Simplify right side
    73,086.30x = 5,847,208,302.02
  5. Step 5: Solve for x
    x = 5,847,208,302.02/73,086.30
  6. Step 6: Final answer
    x = 80,004.16

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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.