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Finding the Fourth Proportional to 29,548.70, 44,323.43 and 9,827.26

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Solution

The fourth proportional to 29,548.70, 44,323.43 and 9,827.26 is: 14,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548.70 : 44,323.43 = 9,827.26 : x
  2. Step 2: Convert to fraction form
    29,548.70/44,323.43 = 9,827.26/x
  3. Step 3: Cross multiply
    29,548.70x = 44,323.43 × 9,827.26
  4. Step 4: Simplify right side
    29,548.70x = 435,577,870.70
  5. Step 5: Solve for x
    x = 435,577,870.70/29,548.70
  6. Step 6: Final answer
    x = 14,741.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.