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Finding the Fourth Proportional to 46,744.54, 64,506.99 and 28,832.38

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Solution

The fourth proportional to 46,744.54, 64,506.99 and 28,832.38 is: 39,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744.54 : 64,506.99 = 28,832.38 : x
  2. Step 2: Convert to fraction form
    46,744.54/64,506.99 = 28,832.38/x
  3. Step 3: Cross multiply
    46,744.54x = 64,506.99 × 28,832.38
  4. Step 4: Simplify right side
    46,744.54x = 1,859,890,048.34
  5. Step 5: Solve for x
    x = 1,859,890,048.34/46,744.54
  6. Step 6: Final answer
    x = 39,788.39

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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.