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Finding the Fourth Proportional to 29,500.50, 44,261.28 and 13,713.06

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Solution

The fourth proportional to 29,500.50, 44,261.28 and 13,713.06 is: 20,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500.50 : 44,261.28 = 13,713.06 : x
  2. Step 2: Convert to fraction form
    29,500.50/44,261.28 = 13,713.06/x
  3. Step 3: Cross multiply
    29,500.50x = 44,261.28 × 13,713.06
  4. Step 4: Simplify right side
    29,500.50x = 606,957,588.32
  5. Step 5: Solve for x
    x = 606,957,588.32/29,500.50
  6. Step 6: Final answer
    x = 20,574.48

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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.