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Finding the Fourth Proportional to 114,952.32, 172,480.32 and 52,640.64

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Solution

The fourth proportional to 114,952.32, 172,480.32 and 52,640.64 is: 78,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,952.32 : 172,480.32 = 52,640.64 : x
  2. Step 2: Convert to fraction form
    114,952.32/172,480.32 = 52,640.64/x
  3. Step 3: Cross multiply
    114,952.32x = 172,480.32 × 52,640.64
  4. Step 4: Simplify right side
    114,952.32x = 9,079,474,432.20
  5. Step 5: Solve for x
    x = 9,079,474,432.20/114,952.32
  6. Step 6: Final answer
    x = 78,984.70

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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.