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Finding the Fourth Proportional to 42,968.92, 59,296.86 and 24,106

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Solution

The fourth proportional to 42,968.92, 59,296.86 and 24,106 is: 33,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,968.92 : 59,296.86 = 24,106 : x
  2. Step 2: Convert to fraction form
    42,968.92/59,296.86 = 24,106/x
  3. Step 3: Cross multiply
    42,968.92x = 59,296.86 × 24,106
  4. Step 4: Simplify right side
    42,968.92x = 1,429,410,107.16
  5. Step 5: Solve for x
    x = 1,429,410,107.16/42,968.92
  6. Step 6: Final answer
    x = 33,266.14

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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.