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Finding the Fourth Proportional to 65,176.48, 97,724.40 and 44,336.80

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Solution

The fourth proportional to 65,176.48, 97,724.40 and 44,336.80 is: 66,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.48 : 97,724.40 = 44,336.80 : x
  2. Step 2: Convert to fraction form
    65,176.48/97,724.40 = 44,336.80/x
  3. Step 3: Cross multiply
    65,176.48x = 97,724.40 × 44,336.80
  4. Step 4: Simplify right side
    65,176.48x = 4,332,787,177.92
  5. Step 5: Solve for x
    x = 4,332,787,177.92/65,176.48
  6. Step 6: Final answer
    x = 66,477.77

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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.