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Finding the Fourth Proportional to 97,320, 145,989.36 and 44,744.16

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Solution

The fourth proportional to 97,320, 145,989.36 and 44,744.16 is: 67,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320 : 145,989.36 = 44,744.16 : x
  2. Step 2: Convert to fraction form
    97,320/145,989.36 = 44,744.16/x
  3. Step 3: Cross multiply
    97,320x = 145,989.36 × 44,744.16
  4. Step 4: Simplify right side
    97,320x = 6,532,171,282.14
  5. Step 5: Solve for x
    x = 6,532,171,282.14/97,320
  6. Step 6: Final answer
    x = 67,120.54

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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.