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Finding the Fourth Proportional to 102,761, 154,141.50 and 24,937

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Solution

The fourth proportional to 102,761, 154,141.50 and 24,937 is: 37,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,761 : 154,141.50 = 24,937 : x
  2. Step 2: Convert to fraction form
    102,761/154,141.50 = 24,937/x
  3. Step 3: Cross multiply
    102,761x = 154,141.50 × 24,937
  4. Step 4: Simplify right side
    102,761x = 3,843,826,585.50
  5. Step 5: Solve for x
    x = 3,843,826,585.50/102,761
  6. Step 6: Final answer
    x = 37,405.50

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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.