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Finding the Fourth Proportional to 49,069.64, 73,603.50 and 14,009

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Solution

The fourth proportional to 49,069.64, 73,603.50 and 14,009 is: 21,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,069.64 : 73,603.50 = 14,009 : x
  2. Step 2: Convert to fraction form
    49,069.64/73,603.50 = 14,009/x
  3. Step 3: Cross multiply
    49,069.64x = 73,603.50 × 14,009
  4. Step 4: Simplify right side
    49,069.64x = 1,031,111,431.50
  5. Step 5: Solve for x
    x = 1,031,111,431.50/49,069.64
  6. Step 6: Final answer
    x = 21,013.23

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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.