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Finding the Fourth Proportional to 29,077.74, 40,142.53 and 19,567.63

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Solution

The fourth proportional to 29,077.74, 40,142.53 and 19,567.63 is: 27,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,077.74 : 40,142.53 = 19,567.63 : x
  2. Step 2: Convert to fraction form
    29,077.74/40,142.53 = 19,567.63/x
  3. Step 3: Cross multiply
    29,077.74x = 40,142.53 × 19,567.63
  4. Step 4: Simplify right side
    29,077.74x = 785,494,306.81
  5. Step 5: Solve for x
    x = 785,494,306.81/29,077.74
  6. Step 6: Final answer
    x = 27,013.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.