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Finding the Fourth Proportional to 82,231.02, 113,478 and 46,420.26

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Solution

The fourth proportional to 82,231.02, 113,478 and 46,420.26 is: 64,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.02 : 113,478 = 46,420.26 : x
  2. Step 2: Convert to fraction form
    82,231.02/113,478 = 46,420.26/x
  3. Step 3: Cross multiply
    82,231.02x = 113,478 × 46,420.26
  4. Step 4: Simplify right side
    82,231.02x = 5,267,678,264.28
  5. Step 5: Solve for x
    x = 5,267,678,264.28/82,231.02
  6. Step 6: Final answer
    x = 64,059.50

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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.