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Finding the Fourth Proportional to 106,270.64, 159,368.88 and 31,370.96

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Solution

The fourth proportional to 106,270.64, 159,368.88 and 31,370.96 is: 47,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,270.64 : 159,368.88 = 31,370.96 : x
  2. Step 2: Convert to fraction form
    106,270.64/159,368.88 = 31,370.96/x
  3. Step 3: Cross multiply
    106,270.64x = 159,368.88 × 31,370.96
  4. Step 4: Simplify right side
    106,270.64x = 4,999,554,759.72
  5. Step 5: Solve for x
    x = 4,999,554,759.72/106,270.64
  6. Step 6: Final answer
    x = 47,045.49

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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.