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Finding the Fourth Proportional to 81,796.64, 112,878.80 and 46,468.64

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Solution

The fourth proportional to 81,796.64, 112,878.80 and 46,468.64 is: 64,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.64 : 112,878.80 = 46,468.64 : x
  2. Step 2: Convert to fraction form
    81,796.64/112,878.80 = 46,468.64/x
  3. Step 3: Cross multiply
    81,796.64x = 112,878.80 × 46,468.64
  4. Step 4: Simplify right side
    81,796.64x = 5,245,324,320.83
  5. Step 5: Solve for x
    x = 5,245,324,320.83/81,796.64
  6. Step 6: Final answer
    x = 64,126.40

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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.