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Finding the Fourth Proportional to 82,620.86, 114,007.52 and 46,803.20

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Solution

The fourth proportional to 82,620.86, 114,007.52 and 46,803.20 is: 64,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,620.86 : 114,007.52 = 46,803.20 : x
  2. Step 2: Convert to fraction form
    82,620.86/114,007.52 = 46,803.20/x
  3. Step 3: Cross multiply
    82,620.86x = 114,007.52 × 46,803.20
  4. Step 4: Simplify right side
    82,620.86x = 5,335,916,190.03
  5. Step 5: Solve for x
    x = 5,335,916,190.03/82,620.86
  6. Step 6: Final answer
    x = 64,583.16

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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.