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Finding the Fourth Proportional to 101,752.50, 152,629.02 and 31,631.88

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Solution

The fourth proportional to 101,752.50, 152,629.02 and 31,631.88 is: 47,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752.50 : 152,629.02 = 31,631.88 : x
  2. Step 2: Convert to fraction form
    101,752.50/152,629.02 = 31,631.88/x
  3. Step 3: Cross multiply
    101,752.50x = 152,629.02 × 31,631.88
  4. Step 4: Simplify right side
    101,752.50x = 4,827,942,845.16
  5. Step 5: Solve for x
    x = 4,827,942,845.16/101,752.50
  6. Step 6: Final answer
    x = 47,447.90

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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.