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Finding the Fourth Proportional to 106,693.55, 160,038.50 and 31,813.91

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Solution

The fourth proportional to 106,693.55, 160,038.50 and 31,813.91 is: 47,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.55 : 160,038.50 = 31,813.91 : x
  2. Step 2: Convert to fraction form
    106,693.55/160,038.50 = 31,813.91/x
  3. Step 3: Cross multiply
    106,693.55x = 160,038.50 × 31,813.91
  4. Step 4: Simplify right side
    106,693.55x = 5,091,449,476.27
  5. Step 5: Solve for x
    x = 5,091,449,476.27/106,693.55
  6. Step 6: Final answer
    x = 47,720.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.