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Finding the Fourth Proportional to 164,551.50, 246,827.25 and 39,892.50

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Solution

The fourth proportional to 164,551.50, 246,827.25 and 39,892.50 is: 59,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,551.50 : 246,827.25 = 39,892.50 : x
  2. Step 2: Convert to fraction form
    164,551.50/246,827.25 = 39,892.50/x
  3. Step 3: Cross multiply
    164,551.50x = 246,827.25 × 39,892.50
  4. Step 4: Simplify right side
    164,551.50x = 9,846,556,070.63
  5. Step 5: Solve for x
    x = 9,846,556,070.63/164,551.50
  6. Step 6: Final answer
    x = 59,838.75

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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.