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Finding the Fourth Proportional to 54,242.81, 74,859.71 and 31,588.90

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Solution

The fourth proportional to 54,242.81, 74,859.71 and 31,588.90 is: 43,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242.81 : 74,859.71 = 31,588.90 : x
  2. Step 2: Convert to fraction form
    54,242.81/74,859.71 = 31,588.90/x
  3. Step 3: Cross multiply
    54,242.81x = 74,859.71 × 31,588.90
  4. Step 4: Simplify right side
    54,242.81x = 2,364,735,360.98
  5. Step 5: Solve for x
    x = 2,364,735,360.98/54,242.81
  6. Step 6: Final answer
    x = 43,595.37

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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.