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Finding the Fourth Proportional to 46,490.58, 64,171.80 and 29,723.58

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Solution

The fourth proportional to 46,490.58, 64,171.80 and 29,723.58 is: 41,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,490.58 : 64,171.80 = 29,723.58 : x
  2. Step 2: Convert to fraction form
    46,490.58/64,171.80 = 29,723.58/x
  3. Step 3: Cross multiply
    46,490.58x = 64,171.80 × 29,723.58
  4. Step 4: Simplify right side
    46,490.58x = 1,907,415,631.04
  5. Step 5: Solve for x
    x = 1,907,415,631.04/46,490.58
  6. Step 6: Final answer
    x = 41,028.00

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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.