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Finding the Fourth Proportional to 53,311.77, 73,568.86 and 34,171.88

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Solution

The fourth proportional to 53,311.77, 73,568.86 and 34,171.88 is: 47,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,311.77 : 73,568.86 = 34,171.88 : x
  2. Step 2: Convert to fraction form
    53,311.77/73,568.86 = 34,171.88/x
  3. Step 3: Cross multiply
    53,311.77x = 73,568.86 × 34,171.88
  4. Step 4: Simplify right side
    53,311.77x = 2,513,985,802.38
  5. Step 5: Solve for x
    x = 2,513,985,802.38/53,311.77
  6. Step 6: Final answer
    x = 47,156.30

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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.