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Finding the Fourth Proportional to 34,730.51, 52,102.98 and 13,954.01

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Solution

The fourth proportional to 34,730.51, 52,102.98 and 13,954.01 is: 20,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.51 : 52,102.98 = 13,954.01 : x
  2. Step 2: Convert to fraction form
    34,730.51/52,102.98 = 13,954.01/x
  3. Step 3: Cross multiply
    34,730.51x = 52,102.98 × 13,954.01
  4. Step 4: Simplify right side
    34,730.51x = 727,045,243.43
  5. Step 5: Solve for x
    x = 727,045,243.43/34,730.51
  6. Step 6: Final answer
    x = 20,933.91

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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.