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Finding the Fourth Proportional to 57,381.60, 86,069.06 and 25,783.50

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Solution

The fourth proportional to 57,381.60, 86,069.06 and 25,783.50 is: 38,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.60 : 86,069.06 = 25,783.50 : x
  2. Step 2: Convert to fraction form
    57,381.60/86,069.06 = 25,783.50/x
  3. Step 3: Cross multiply
    57,381.60x = 86,069.06 × 25,783.50
  4. Step 4: Simplify right side
    57,381.60x = 2,219,161,608.51
  5. Step 5: Solve for x
    x = 2,219,161,608.51/57,381.60
  6. Step 6: Final answer
    x = 38,673.75

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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.