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Finding the Fourth Proportional to 42,357.80, 58,454.54 and 23,238.56

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Solution

The fourth proportional to 42,357.80, 58,454.54 and 23,238.56 is: 32,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.80 : 58,454.54 = 23,238.56 : x
  2. Step 2: Convert to fraction form
    42,357.80/58,454.54 = 23,238.56/x
  3. Step 3: Cross multiply
    42,357.80x = 58,454.54 × 23,238.56
  4. Step 4: Simplify right side
    42,357.80x = 1,358,399,582.87
  5. Step 5: Solve for x
    x = 1,358,399,582.87/42,357.80
  6. Step 6: Final answer
    x = 32,069.64

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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.