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Finding the Fourth Proportional to 46,714, 64,465.32 and 29,947

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Solution

The fourth proportional to 46,714, 64,465.32 and 29,947 is: 41,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714 : 64,465.32 = 29,947 : x
  2. Step 2: Convert to fraction form
    46,714/64,465.32 = 29,947/x
  3. Step 3: Cross multiply
    46,714x = 64,465.32 × 29,947
  4. Step 4: Simplify right side
    46,714x = 1,930,542,938.04
  5. Step 5: Solve for x
    x = 1,930,542,938.04/46,714
  6. Step 6: Final answer
    x = 41,326.86

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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.