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Finding the Fourth Proportional to 106,498.58, 159,720.50 and 31,601.00

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Solution

The fourth proportional to 106,498.58, 159,720.50 and 31,601.00 is: 47,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.58 : 159,720.50 = 31,601.00 : x
  2. Step 2: Convert to fraction form
    106,498.58/159,720.50 = 31,601.00/x
  3. Step 3: Cross multiply
    106,498.58x = 159,720.50 × 31,601.00
  4. Step 4: Simplify right side
    106,498.58x = 5,047,326,563.89
  5. Step 5: Solve for x
    x = 5,047,326,563.89/106,498.58
  6. Step 6: Final answer
    x = 47,393.37

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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.