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Finding the Fourth Proportional to 102,474.50, 153,734.46 and 31,406.96

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Solution

The fourth proportional to 102,474.50, 153,734.46 and 31,406.96 is: 47,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474.50 : 153,734.46 = 31,406.96 : x
  2. Step 2: Convert to fraction form
    102,474.50/153,734.46 = 31,406.96/x
  3. Step 3: Cross multiply
    102,474.50x = 153,734.46 × 31,406.96
  4. Step 4: Simplify right side
    102,474.50x = 4,828,332,035.84
  5. Step 5: Solve for x
    x = 4,828,332,035.84/102,474.50
  6. Step 6: Final answer
    x = 47,117.40

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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.