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Finding the Fourth Proportional to 29,813.64, 44,725.26 and 9,032.28

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Solution

The fourth proportional to 29,813.64, 44,725.26 and 9,032.28 is: 13,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.64 : 44,725.26 = 9,032.28 : x
  2. Step 2: Convert to fraction form
    29,813.64/44,725.26 = 9,032.28/x
  3. Step 3: Cross multiply
    29,813.64x = 44,725.26 × 9,032.28
  4. Step 4: Simplify right side
    29,813.64x = 403,971,071.39
  5. Step 5: Solve for x
    x = 403,971,071.39/29,813.64
  6. Step 6: Final answer
    x = 13,549.87

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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.