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Finding the Fourth Proportional to 47,701.16, 65,814.26 and 29,814.28

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Solution

The fourth proportional to 47,701.16, 65,814.26 and 29,814.28 is: 41,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.16 : 65,814.26 = 29,814.28 : x
  2. Step 2: Convert to fraction form
    47,701.16/65,814.26 = 29,814.28/x
  3. Step 3: Cross multiply
    47,701.16x = 65,814.26 × 29,814.28
  4. Step 4: Simplify right side
    47,701.16x = 1,962,204,775.63
  5. Step 5: Solve for x
    x = 1,962,204,775.63/47,701.16
  6. Step 6: Final answer
    x = 41,135.37

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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.