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Finding the Fourth Proportional to 102,533.20, 153,634.20 and 58,027.60

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Solution

The fourth proportional to 102,533.20, 153,634.20 and 58,027.60 is: 86,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.20 : 153,634.20 = 58,027.60 : x
  2. Step 2: Convert to fraction form
    102,533.20/153,634.20 = 58,027.60/x
  3. Step 3: Cross multiply
    102,533.20x = 153,634.20 × 58,027.60
  4. Step 4: Simplify right side
    102,533.20x = 8,915,023,903.92
  5. Step 5: Solve for x
    x = 8,915,023,903.92/102,533.20
  6. Step 6: Final answer
    x = 86,947.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.