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Finding the Fourth Proportional to 29,285.98, 43,931.66 and 9,564.64

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Solution

The fourth proportional to 29,285.98, 43,931.66 and 9,564.64 is: 14,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285.98 : 43,931.66 = 9,564.64 : x
  2. Step 2: Convert to fraction form
    29,285.98/43,931.66 = 9,564.64/x
  3. Step 3: Cross multiply
    29,285.98x = 43,931.66 × 9,564.64
  4. Step 4: Simplify right side
    29,285.98x = 420,190,292.84
  5. Step 5: Solve for x
    x = 420,190,292.84/29,285.98
  6. Step 6: Final answer
    x = 14,347.83

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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.