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Finding the Fourth Proportional to 42,034.68, 58,007 and 22,914.60

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Solution

The fourth proportional to 42,034.68, 58,007 and 22,914.60 is: 31,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034.68 : 58,007 = 22,914.60 : x
  2. Step 2: Convert to fraction form
    42,034.68/58,007 = 22,914.60/x
  3. Step 3: Cross multiply
    42,034.68x = 58,007 × 22,914.60
  4. Step 4: Simplify right side
    42,034.68x = 1,329,207,202.20
  5. Step 5: Solve for x
    x = 1,329,207,202.20/42,034.68
  6. Step 6: Final answer
    x = 31,621.68

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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.