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Finding the Fourth Proportional to 102,033, 153,063.27 and 31,917.78

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Solution

The fourth proportional to 102,033, 153,063.27 and 31,917.78 is: 47,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,033 : 153,063.27 = 31,917.78 : x
  2. Step 2: Convert to fraction form
    102,033/153,063.27 = 31,917.78/x
  3. Step 3: Cross multiply
    102,033x = 153,063.27 × 31,917.78
  4. Step 4: Simplify right side
    102,033x = 4,885,439,777.94
  5. Step 5: Solve for x
    x = 4,885,439,777.94/102,033
  6. Step 6: Final answer
    x = 47,880.98

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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.