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Finding the Fourth Proportional to 84,208.88, 116,208.49 and 45,968.46

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Solution

The fourth proportional to 84,208.88, 116,208.49 and 45,968.46 is: 63,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,208.88 : 116,208.49 = 45,968.46 : x
  2. Step 2: Convert to fraction form
    84,208.88/116,208.49 = 45,968.46/x
  3. Step 3: Cross multiply
    84,208.88x = 116,208.49 × 45,968.46
  4. Step 4: Simplify right side
    84,208.88x = 5,341,925,319.46
  5. Step 5: Solve for x
    x = 5,341,925,319.46/84,208.88
  6. Step 6: Final answer
    x = 63,436.60

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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.