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Finding the Fourth Proportional to 82,345, 113,636.10 and 44,619.28

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Solution

The fourth proportional to 82,345, 113,636.10 and 44,619.28 is: 61,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,345 : 113,636.10 = 44,619.28 : x
  2. Step 2: Convert to fraction form
    82,345/113,636.10 = 44,619.28/x
  3. Step 3: Cross multiply
    82,345x = 113,636.10 × 44,619.28
  4. Step 4: Simplify right side
    82,345x = 5,070,360,964.01
  5. Step 5: Solve for x
    x = 5,070,360,964.01/82,345
  6. Step 6: Final answer
    x = 61,574.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.