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Finding the Fourth Proportional to 46,894.82, 64,714.82 and 25,674.08

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Solution

The fourth proportional to 46,894.82, 64,714.82 and 25,674.08 is: 35,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894.82 : 64,714.82 = 25,674.08 : x
  2. Step 2: Convert to fraction form
    46,894.82/64,714.82 = 25,674.08/x
  3. Step 3: Cross multiply
    46,894.82x = 64,714.82 × 25,674.08
  4. Step 4: Simplify right side
    46,894.82x = 1,661,493,013.92
  5. Step 5: Solve for x
    x = 1,661,493,013.92/46,894.82
  6. Step 6: Final answer
    x = 35,430.21

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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.