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Finding the Fourth Proportional to 46,872.72, 64,617 and 33,420.58

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Solution

The fourth proportional to 46,872.72, 64,617 and 33,420.58 is: 46,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,872.72 : 64,617 = 33,420.58 : x
  2. Step 2: Convert to fraction form
    46,872.72/64,617 = 33,420.58/x
  3. Step 3: Cross multiply
    46,872.72x = 64,617 × 33,420.58
  4. Step 4: Simplify right side
    46,872.72x = 2,159,537,617.86
  5. Step 5: Solve for x
    x = 2,159,537,617.86/46,872.72
  6. Step 6: Final answer
    x = 46,072.38

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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.