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Finding the Fourth Proportional to 29,427.42, 44,145.51 and 9,708.06

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Solution

The fourth proportional to 29,427.42, 44,145.51 and 9,708.06 is: 14,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.42 : 44,145.51 = 9,708.06 : x
  2. Step 2: Convert to fraction form
    29,427.42/44,145.51 = 9,708.06/x
  3. Step 3: Cross multiply
    29,427.42x = 44,145.51 × 9,708.06
  4. Step 4: Simplify right side
    29,427.42x = 428,567,259.81
  5. Step 5: Solve for x
    x = 428,567,259.81/29,427.42
  6. Step 6: Final answer
    x = 14,563.53

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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.