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Finding the Fourth Proportional to 46,694, 64,437.72 and 29,927

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Solution

The fourth proportional to 46,694, 64,437.72 and 29,927 is: 41,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694 : 64,437.72 = 29,927 : x
  2. Step 2: Convert to fraction form
    46,694/64,437.72 = 29,927/x
  3. Step 3: Cross multiply
    46,694x = 64,437.72 × 29,927
  4. Step 4: Simplify right side
    46,694x = 1,928,427,646.44
  5. Step 5: Solve for x
    x = 1,928,427,646.44/46,694
  6. Step 6: Final answer
    x = 41,299.26

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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.