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Finding the Fourth Proportional to 42,615.78, 58,748.22 and 29,829.40

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Solution

The fourth proportional to 42,615.78, 58,748.22 and 29,829.40 is: 41,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,615.78 : 58,748.22 = 29,829.40 : x
  2. Step 2: Convert to fraction form
    42,615.78/58,748.22 = 29,829.40/x
  3. Step 3: Cross multiply
    42,615.78x = 58,748.22 × 29,829.40
  4. Step 4: Simplify right side
    42,615.78x = 1,752,424,153.67
  5. Step 5: Solve for x
    x = 1,752,424,153.67/42,615.78
  6. Step 6: Final answer
    x = 41,121.48

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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.