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Finding the Fourth Proportional to 82,594.71, 114,029.10 and 59,911.92

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Solution

The fourth proportional to 82,594.71, 114,029.10 and 59,911.92 is: 82,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.71 : 114,029.10 = 59,911.92 : x
  2. Step 2: Convert to fraction form
    82,594.71/114,029.10 = 59,911.92/x
  3. Step 3: Cross multiply
    82,594.71x = 114,029.10 × 59,911.92
  4. Step 4: Simplify right side
    82,594.71x = 6,831,702,316.87
  5. Step 5: Solve for x
    x = 6,831,702,316.87/82,594.71
  6. Step 6: Final answer
    x = 82,713.56

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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.