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Finding the Fourth Proportional to 102,077.82, 153,121.05 and 49,531.50

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Solution

The fourth proportional to 102,077.82, 153,121.05 and 49,531.50 is: 74,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077.82 : 153,121.05 = 49,531.50 : x
  2. Step 2: Convert to fraction form
    102,077.82/153,121.05 = 49,531.50/x
  3. Step 3: Cross multiply
    102,077.82x = 153,121.05 × 49,531.50
  4. Step 4: Simplify right side
    102,077.82x = 7,584,315,288.08
  5. Step 5: Solve for x
    x = 7,584,315,288.08/102,077.82
  6. Step 6: Final answer
    x = 74,299.35

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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.