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Finding the Fourth Proportional to 76,525, 114,769.26 and 32,152.60

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Solution

The fourth proportional to 76,525, 114,769.26 and 32,152.60 is: 48,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525 : 114,769.26 = 32,152.60 : x
  2. Step 2: Convert to fraction form
    76,525/114,769.26 = 32,152.60/x
  3. Step 3: Cross multiply
    76,525x = 114,769.26 × 32,152.60
  4. Step 4: Simplify right side
    76,525x = 3,690,130,109.08
  5. Step 5: Solve for x
    x = 3,690,130,109.08/76,525
  6. Step 6: Final answer
    x = 48,221.24

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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.