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Finding the Fourth Proportional to 102,477.50, 153,738.96 and 31,409.96

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Solution

The fourth proportional to 102,477.50, 153,738.96 and 31,409.96 is: 47,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.50 : 153,738.96 = 31,409.96 : x
  2. Step 2: Convert to fraction form
    102,477.50/153,738.96 = 31,409.96/x
  3. Step 3: Cross multiply
    102,477.50x = 153,738.96 × 31,409.96
  4. Step 4: Simplify right side
    102,477.50x = 4,828,934,584.04
  5. Step 5: Solve for x
    x = 4,828,934,584.04/102,477.50
  6. Step 6: Final answer
    x = 47,121.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.