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Finding the Fourth Proportional to 82,495.08, 113,844.92 and 46,685.08

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Solution

The fourth proportional to 82,495.08, 113,844.92 and 46,685.08 is: 64,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.08 : 113,844.92 = 46,685.08 : x
  2. Step 2: Convert to fraction form
    82,495.08/113,844.92 = 46,685.08/x
  3. Step 3: Cross multiply
    82,495.08x = 113,844.92 × 46,685.08
  4. Step 4: Simplify right side
    82,495.08x = 5,314,859,106.67
  5. Step 5: Solve for x
    x = 5,314,859,106.67/82,495.08
  6. Step 6: Final answer
    x = 64,426.38

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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.