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Finding the Fourth Proportional to 164,427.08, 246,638.46 and 39,767

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Solution

The fourth proportional to 164,427.08, 246,638.46 and 39,767 is: 59,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,427.08 : 246,638.46 = 39,767 : x
  2. Step 2: Convert to fraction form
    164,427.08/246,638.46 = 39,767/x
  3. Step 3: Cross multiply
    164,427.08x = 246,638.46 × 39,767
  4. Step 4: Simplify right side
    164,427.08x = 9,808,071,638.82
  5. Step 5: Solve for x
    x = 9,808,071,638.82/164,427.08
  6. Step 6: Final answer
    x = 59,649.98

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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.