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Finding the Fourth Proportional to 42,533.96, 58,694.09 and 23,410.08

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Solution

The fourth proportional to 42,533.96, 58,694.09 and 23,410.08 is: 32,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,533.96 : 58,694.09 = 23,410.08 : x
  2. Step 2: Convert to fraction form
    42,533.96/58,694.09 = 23,410.08/x
  3. Step 3: Cross multiply
    42,533.96x = 58,694.09 × 23,410.08
  4. Step 4: Simplify right side
    42,533.96x = 1,374,033,225.38
  5. Step 5: Solve for x
    x = 1,374,033,225.38/42,533.96
  6. Step 6: Final answer
    x = 32,304.38

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Why These Related Problems?

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