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Finding the Fourth Proportional to 69,758.64, 96,314.44 and 46,822.86

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Solution

The fourth proportional to 69,758.64, 96,314.44 and 46,822.86 is: 64,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,758.64 : 96,314.44 = 46,822.86 : x
  2. Step 2: Convert to fraction form
    69,758.64/96,314.44 = 46,822.86/x
  3. Step 3: Cross multiply
    69,758.64x = 96,314.44 × 46,822.86
  4. Step 4: Simplify right side
    69,758.64x = 4,509,717,540.10
  5. Step 5: Solve for x
    x = 4,509,717,540.10/69,758.64
  6. Step 6: Final answer
    x = 64,647.44

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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.