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Finding the Fourth Proportional to 97,144.48, 145,614.62 and 44,510.68

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Solution

The fourth proportional to 97,144.48, 145,614.62 and 44,510.68 is: 66,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,144.48 : 145,614.62 = 44,510.68 : x
  2. Step 2: Convert to fraction form
    97,144.48/145,614.62 = 44,510.68/x
  3. Step 3: Cross multiply
    97,144.48x = 145,614.62 × 44,510.68
  4. Step 4: Simplify right side
    97,144.48x = 6,481,405,754.14
  5. Step 5: Solve for x
    x = 6,481,405,754.14/97,144.48
  6. Step 6: Final answer
    x = 66,719.24

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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.