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Finding the Fourth Proportional to 165,985, 248,988.84 and 47,647.24

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Solution

The fourth proportional to 165,985, 248,988.84 and 47,647.24 is: 71,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,985 : 248,988.84 = 47,647.24 : x
  2. Step 2: Convert to fraction form
    165,985/248,988.84 = 47,647.24/x
  3. Step 3: Cross multiply
    165,985x = 248,988.84 × 47,647.24
  4. Step 4: Simplify right side
    165,985x = 11,863,631,016.80
  5. Step 5: Solve for x
    x = 11,863,631,016.80/165,985
  6. Step 6: Final answer
    x = 71,474.12

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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.