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Finding the Fourth Proportional to 32,239.38, 47,969.01 and 31,435.86

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Solution

The fourth proportional to 32,239.38, 47,969.01 and 31,435.86 is: 46,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,239.38 : 47,969.01 = 31,435.86 : x
  2. Step 2: Convert to fraction form
    32,239.38/47,969.01 = 31,435.86/x
  3. Step 3: Cross multiply
    32,239.38x = 47,969.01 × 31,435.86
  4. Step 4: Simplify right side
    32,239.38x = 1,507,947,082.70
  5. Step 5: Solve for x
    x = 1,507,947,082.70/32,239.38
  6. Step 6: Final answer
    x = 46,773.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.