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Finding the Fourth Proportional to 84,580.38, 116,714.07 and 48,746.34

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Solution

The fourth proportional to 84,580.38, 116,714.07 and 48,746.34 is: 67,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580.38 : 116,714.07 = 48,746.34 : x
  2. Step 2: Convert to fraction form
    84,580.38/116,714.07 = 48,746.34/x
  3. Step 3: Cross multiply
    84,580.38x = 116,714.07 × 48,746.34
  4. Step 4: Simplify right side
    84,580.38x = 5,689,383,739.00
  5. Step 5: Solve for x
    x = 5,689,383,739.00/84,580.38
  6. Step 6: Final answer
    x = 67,266.00

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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.