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Finding the Fourth Proportional to 76,625.91, 105,746.81 and 46,394.06

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Solution

The fourth proportional to 76,625.91, 105,746.81 and 46,394.06 is: 64,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625.91 : 105,746.81 = 46,394.06 : x
  2. Step 2: Convert to fraction form
    76,625.91/105,746.81 = 46,394.06/x
  3. Step 3: Cross multiply
    76,625.91x = 105,746.81 × 46,394.06
  4. Step 4: Simplify right side
    76,625.91x = 4,906,023,087.24
  5. Step 5: Solve for x
    x = 4,906,023,087.24/76,625.91
  6. Step 6: Final answer
    x = 64,025.64

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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.