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Finding the Fourth Proportional to 82,761.28, 114,210.42 and 45,035.32

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Solution

The fourth proportional to 82,761.28, 114,210.42 and 45,035.32 is: 62,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761.28 : 114,210.42 = 45,035.32 : x
  2. Step 2: Convert to fraction form
    82,761.28/114,210.42 = 45,035.32/x
  3. Step 3: Cross multiply
    82,761.28x = 114,210.42 × 45,035.32
  4. Step 4: Simplify right side
    82,761.28x = 5,143,502,812.03
  5. Step 5: Solve for x
    x = 5,143,502,812.03/82,761.28
  6. Step 6: Final answer
    x = 62,148.66

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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.