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Finding the Fourth Proportional to 84,085.52, 116,085.48 and 55,829.84

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Solution

The fourth proportional to 84,085.52, 116,085.48 and 55,829.84 is: 77,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,085.52 : 116,085.48 = 55,829.84 : x
  2. Step 2: Convert to fraction form
    84,085.52/116,085.48 = 55,829.84/x
  3. Step 3: Cross multiply
    84,085.52x = 116,085.48 × 55,829.84
  4. Step 4: Simplify right side
    84,085.52x = 6,481,033,774.72
  5. Step 5: Solve for x
    x = 6,481,033,774.72/84,085.52
  6. Step 6: Final answer
    x = 77,076.69

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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.