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Finding the Fourth Proportional to 29,234.40, 43,852 and 9,513.06

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Solution

The fourth proportional to 29,234.40, 43,852 and 9,513.06 is: 14,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.40 : 43,852 = 9,513.06 : x
  2. Step 2: Convert to fraction form
    29,234.40/43,852 = 9,513.06/x
  3. Step 3: Cross multiply
    29,234.40x = 43,852 × 9,513.06
  4. Step 4: Simplify right side
    29,234.40x = 417,166,707.12
  5. Step 5: Solve for x
    x = 417,166,707.12/29,234.40
  6. Step 6: Final answer
    x = 14,269.72

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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.