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Finding the Fourth Proportional to 48,202.57, 66,502.43 and 31,406.41

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Solution

The fourth proportional to 48,202.57, 66,502.43 and 31,406.41 is: 43,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202.57 : 66,502.43 = 31,406.41 : x
  2. Step 2: Convert to fraction form
    48,202.57/66,502.43 = 31,406.41/x
  3. Step 3: Cross multiply
    48,202.57x = 66,502.43 × 31,406.41
  4. Step 4: Simplify right side
    48,202.57x = 2,088,602,250.06
  5. Step 5: Solve for x
    x = 2,088,602,250.06/48,202.57
  6. Step 6: Final answer
    x = 43,329.69

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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.