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Finding the Fourth Proportional to 39,094.94, 53,949.70 and 23,169.94

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Solution

The fourth proportional to 39,094.94, 53,949.70 and 23,169.94 is: 31,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,094.94 : 53,949.70 = 23,169.94 : x
  2. Step 2: Convert to fraction form
    39,094.94/53,949.70 = 23,169.94/x
  3. Step 3: Cross multiply
    39,094.94x = 53,949.70 × 23,169.94
  4. Step 4: Simplify right side
    39,094.94x = 1,250,011,312.02
  5. Step 5: Solve for x
    x = 1,250,011,312.02/39,094.94
  6. Step 6: Final answer
    x = 31,973.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.