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Finding the Fourth Proportional to 82,491.04, 113,838 and 44,765.32

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Solution

The fourth proportional to 82,491.04, 113,838 and 44,765.32 is: 61,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.04 : 113,838 = 44,765.32 : x
  2. Step 2: Convert to fraction form
    82,491.04/113,838 = 44,765.32/x
  3. Step 3: Cross multiply
    82,491.04x = 113,838 × 44,765.32
  4. Step 4: Simplify right side
    82,491.04x = 5,095,994,498.16
  5. Step 5: Solve for x
    x = 5,095,994,498.16/82,491.04
  6. Step 6: Final answer
    x = 61,776.34

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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.