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Finding the Fourth Proportional to 82,410, 113,725.80 and 44,684.28

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Solution

The fourth proportional to 82,410, 113,725.80 and 44,684.28 is: 61,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,410 : 113,725.80 = 44,684.28 : x
  2. Step 2: Convert to fraction form
    82,410/113,725.80 = 44,684.28/x
  3. Step 3: Cross multiply
    82,410x = 113,725.80 × 44,684.28
  4. Step 4: Simplify right side
    82,410x = 5,081,755,490.42
  5. Step 5: Solve for x
    x = 5,081,755,490.42/82,410
  6. Step 6: Final answer
    x = 61,664.31

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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.