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Finding the Fourth Proportional to 82,445, 113,774.11 and 46,634.24

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Solution

The fourth proportional to 82,445, 113,774.11 and 46,634.24 is: 64,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,445 : 113,774.11 = 46,634.24 : x
  2. Step 2: Convert to fraction form
    82,445/113,774.11 = 46,634.24/x
  3. Step 3: Cross multiply
    82,445x = 113,774.11 × 46,634.24
  4. Step 4: Simplify right side
    82,445x = 5,305,769,151.53
  5. Step 5: Solve for x
    x = 5,305,769,151.53/82,445
  6. Step 6: Final answer
    x = 64,355.26

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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.