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Finding the Fourth Proportional to 42,357.12, 58,452 and 23,494.08

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Solution

The fourth proportional to 42,357.12, 58,452 and 23,494.08 is: 32,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.12 : 58,452 = 23,494.08 : x
  2. Step 2: Convert to fraction form
    42,357.12/58,452 = 23,494.08/x
  3. Step 3: Cross multiply
    42,357.12x = 58,452 × 23,494.08
  4. Step 4: Simplify right side
    42,357.12x = 1,373,275,964.16
  5. Step 5: Solve for x
    x = 1,373,275,964.16/42,357.12
  6. Step 6: Final answer
    x = 32,421.37

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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.