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Finding the Fourth Proportional to 84,374.88, 116,442 and 46,648.32

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Solution

The fourth proportional to 84,374.88, 116,442 and 46,648.32 is: 64,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,374.88 : 116,442 = 46,648.32 : x
  2. Step 2: Convert to fraction form
    84,374.88/116,442 = 46,648.32/x
  3. Step 3: Cross multiply
    84,374.88x = 116,442 × 46,648.32
  4. Step 4: Simplify right side
    84,374.88x = 5,431,823,677.44
  5. Step 5: Solve for x
    x = 5,431,823,677.44/84,374.88
  6. Step 6: Final answer
    x = 64,377.26

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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.