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Finding the Fourth Proportional to 77,144.40, 115,457.40 and 53,816.40

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Solution

The fourth proportional to 77,144.40, 115,457.40 and 53,816.40 is: 80,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,144.40 : 115,457.40 = 53,816.40 : x
  2. Step 2: Convert to fraction form
    77,144.40/115,457.40 = 53,816.40/x
  3. Step 3: Cross multiply
    77,144.40x = 115,457.40 × 53,816.40
  4. Step 4: Simplify right side
    77,144.40x = 6,213,501,621.36
  5. Step 5: Solve for x
    x = 6,213,501,621.36/77,144.40
  6. Step 6: Final answer
    x = 80,543.78

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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.