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Finding the Fourth Proportional to 84,714.88, 116,906.16 and 48,415.72

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Solution

The fourth proportional to 84,714.88, 116,906.16 and 48,415.72 is: 66,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714.88 : 116,906.16 = 48,415.72 : x
  2. Step 2: Convert to fraction form
    84,714.88/116,906.16 = 48,415.72/x
  3. Step 3: Cross multiply
    84,714.88x = 116,906.16 × 48,415.72
  4. Step 4: Simplify right side
    84,714.88x = 5,660,095,908.84
  5. Step 5: Solve for x
    x = 5,660,095,908.84/84,714.88
  6. Step 6: Final answer
    x = 66,813.48

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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.