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Finding the Fourth Proportional to 29,159.90, 43,741.24 and 9,440

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Solution

The fourth proportional to 29,159.90, 43,741.24 and 9,440 is: 14,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.90 : 43,741.24 = 9,440 : x
  2. Step 2: Convert to fraction form
    29,159.90/43,741.24 = 9,440/x
  3. Step 3: Cross multiply
    29,159.90x = 43,741.24 × 9,440
  4. Step 4: Simplify right side
    29,159.90x = 412,917,305.60
  5. Step 5: Solve for x
    x = 412,917,305.60/29,159.90
  6. Step 6: Final answer
    x = 14,160.45

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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.