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Finding the Fourth Proportional to 29,364.30, 44,051.94 and 9,648.54

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Solution

The fourth proportional to 29,364.30, 44,051.94 and 9,648.54 is: 14,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364.30 : 44,051.94 = 9,648.54 : x
  2. Step 2: Convert to fraction form
    29,364.30/44,051.94 = 9,648.54/x
  3. Step 3: Cross multiply
    29,364.30x = 44,051.94 × 9,648.54
  4. Step 4: Simplify right side
    29,364.30x = 425,036,905.17
  5. Step 5: Solve for x
    x = 425,036,905.17/29,364.30
  6. Step 6: Final answer
    x = 14,474.61

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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.