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Finding the Fourth Proportional to 49,154, 67,811.12 and 31,239.40

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Solution

The fourth proportional to 49,154, 67,811.12 and 31,239.40 is: 43,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,154 : 67,811.12 = 31,239.40 : x
  2. Step 2: Convert to fraction form
    49,154/67,811.12 = 31,239.40/x
  3. Step 3: Cross multiply
    49,154x = 67,811.12 × 31,239.40
  4. Step 4: Simplify right side
    49,154x = 2,118,378,702.13
  5. Step 5: Solve for x
    x = 2,118,378,702.13/49,154
  6. Step 6: Final answer
    x = 43,096.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.