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Finding the Fourth Proportional to 29,051.61, 43,572.16 and 7,704.46

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Solution

The fourth proportional to 29,051.61, 43,572.16 and 7,704.46 is: 11,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,051.61 : 43,572.16 = 7,704.46 : x
  2. Step 2: Convert to fraction form
    29,051.61/43,572.16 = 7,704.46/x
  3. Step 3: Cross multiply
    29,051.61x = 43,572.16 × 7,704.46
  4. Step 4: Simplify right side
    29,051.61x = 335,699,963.83
  5. Step 5: Solve for x
    x = 335,699,963.83/29,051.61
  6. Step 6: Final answer
    x = 11,555.30

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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.