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Finding the Fourth Proportional to 29,325.71, 43,953.31 and 13,509

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Solution

The fourth proportional to 29,325.71, 43,953.31 and 13,509 is: 20,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325.71 : 43,953.31 = 13,509 : x
  2. Step 2: Convert to fraction form
    29,325.71/43,953.31 = 13,509/x
  3. Step 3: Cross multiply
    29,325.71x = 43,953.31 × 13,509
  4. Step 4: Simplify right side
    29,325.71x = 593,765,264.79
  5. Step 5: Solve for x
    x = 593,765,264.79/29,325.71
  6. Step 6: Final answer
    x = 20,247.26

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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.