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Finding the Fourth Proportional to 82,969.22, 114,493.02 and 47,154.26

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Solution

The fourth proportional to 82,969.22, 114,493.02 and 47,154.26 is: 65,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969.22 : 114,493.02 = 47,154.26 : x
  2. Step 2: Convert to fraction form
    82,969.22/114,493.02 = 47,154.26/x
  3. Step 3: Cross multiply
    82,969.22x = 114,493.02 × 47,154.26
  4. Step 4: Simplify right side
    82,969.22x = 5,398,833,633.27
  5. Step 5: Solve for x
    x = 5,398,833,633.27/82,969.22
  6. Step 6: Final answer
    x = 65,070.32

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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.