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Finding the Fourth Proportional to 57,783.60, 86,529.60 and 46,119.60

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Solution

The fourth proportional to 57,783.60, 86,529.60 and 46,119.60 is: 69,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.60 : 86,529.60 = 46,119.60 : x
  2. Step 2: Convert to fraction form
    57,783.60/86,529.60 = 46,119.60/x
  3. Step 3: Cross multiply
    57,783.60x = 86,529.60 × 46,119.60
  4. Step 4: Simplify right side
    57,783.60x = 3,990,710,540.16
  5. Step 5: Solve for x
    x = 3,990,710,540.16/57,783.60
  6. Step 6: Final answer
    x = 69,063.03

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Why These Related Problems?

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