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Finding the Fourth Proportional to 70,194.50, 96,812.68 and 53,024.16

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Solution

The fourth proportional to 70,194.50, 96,812.68 and 53,024.16 is: 73,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,194.50 : 96,812.68 = 53,024.16 : x
  2. Step 2: Convert to fraction form
    70,194.50/96,812.68 = 53,024.16/x
  3. Step 3: Cross multiply
    70,194.50x = 96,812.68 × 53,024.16
  4. Step 4: Simplify right side
    70,194.50x = 5,133,410,758.11
  5. Step 5: Solve for x
    x = 5,133,410,758.11/70,194.50
  6. Step 6: Final answer
    x = 73,131.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.