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Finding the Fourth Proportional to 47,649.50, 65,713.26 and 29,746.16

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Solution

The fourth proportional to 47,649.50, 65,713.26 and 29,746.16 is: 41,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.50 : 65,713.26 = 29,746.16 : x
  2. Step 2: Convert to fraction form
    47,649.50/65,713.26 = 29,746.16/x
  3. Step 3: Cross multiply
    47,649.50x = 65,713.26 × 29,746.16
  4. Step 4: Simplify right side
    47,649.50x = 1,954,717,146.08
  5. Step 5: Solve for x
    x = 1,954,717,146.08/47,649.50
  6. Step 6: Final answer
    x = 41,022.83

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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.