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Finding the Fourth Proportional to 46,490.98, 64,174 and 27,627.88

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Solution

The fourth proportional to 46,490.98, 64,174 and 27,627.88 is: 38,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,490.98 : 64,174 = 27,627.88 : x
  2. Step 2: Convert to fraction form
    46,490.98/64,174 = 27,627.88/x
  3. Step 3: Cross multiply
    46,490.98x = 64,174 × 27,627.88
  4. Step 4: Simplify right side
    46,490.98x = 1,772,991,250.25
  5. Step 5: Solve for x
    x = 1,772,991,250.25/46,490.98
  6. Step 6: Final answer
    x = 38,136.25

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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.