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Finding the Fourth Proportional to 84,416.88, 116,498.34 and 46,691.40

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Solution

The fourth proportional to 84,416.88, 116,498.34 and 46,691.40 is: 64,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,416.88 : 116,498.34 = 46,691.40 : x
  2. Step 2: Convert to fraction form
    84,416.88/116,498.34 = 46,691.40/x
  3. Step 3: Cross multiply
    84,416.88x = 116,498.34 × 46,691.40
  4. Step 4: Simplify right side
    84,416.88x = 5,439,470,592.28
  5. Step 5: Solve for x
    x = 5,439,470,592.28/84,416.88
  6. Step 6: Final answer
    x = 64,435.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.