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Finding the Fourth Proportional to 47,649.47, 65,755.13 and 27,232.47

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Solution

The fourth proportional to 47,649.47, 65,755.13 and 27,232.47 is: 37,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.47 : 65,755.13 = 27,232.47 : x
  2. Step 2: Convert to fraction form
    47,649.47/65,755.13 = 27,232.47/x
  3. Step 3: Cross multiply
    47,649.47x = 65,755.13 × 27,232.47
  4. Step 4: Simplify right side
    47,649.47x = 1,790,674,468.91
  5. Step 5: Solve for x
    x = 1,790,674,468.91/47,649.47
  6. Step 6: Final answer
    x = 37,580.16

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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.