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Finding the Fourth Proportional to 46,467.80, 64,131.06 and 27,605

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Solution

The fourth proportional to 46,467.80, 64,131.06 and 27,605 is: 38,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467.80 : 64,131.06 = 27,605 : x
  2. Step 2: Convert to fraction form
    46,467.80/64,131.06 = 27,605/x
  3. Step 3: Cross multiply
    46,467.80x = 64,131.06 × 27,605
  4. Step 4: Simplify right side
    46,467.80x = 1,770,337,911.30
  5. Step 5: Solve for x
    x = 1,770,337,911.30/46,467.80
  6. Step 6: Final answer
    x = 38,098.16

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1.5x scale

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.