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Finding the Fourth Proportional to 82,340.63, 113,632.65 and 46,532.98

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Solution

The fourth proportional to 82,340.63, 113,632.65 and 46,532.98 is: 64,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340.63 : 113,632.65 = 46,532.98 : x
  2. Step 2: Convert to fraction form
    82,340.63/113,632.65 = 46,532.98/x
  3. Step 3: Cross multiply
    82,340.63x = 113,632.65 × 46,532.98
  4. Step 4: Simplify right side
    82,340.63x = 5,287,665,840.96
  5. Step 5: Solve for x
    x = 5,287,665,840.96/82,340.63
  6. Step 6: Final answer
    x = 64,216.97

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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.