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Finding the Fourth Proportional to 29,290.80, 43,905.18 and 9,564.06

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Solution

The fourth proportional to 29,290.80, 43,905.18 and 9,564.06 is: 14,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290.80 : 43,905.18 = 9,564.06 : x
  2. Step 2: Convert to fraction form
    29,290.80/43,905.18 = 9,564.06/x
  3. Step 3: Cross multiply
    29,290.80x = 43,905.18 × 9,564.06
  4. Step 4: Simplify right side
    29,290.80x = 419,911,775.83
  5. Step 5: Solve for x
    x = 419,911,775.83/29,290.80
  6. Step 6: Final answer
    x = 14,335.96

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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.