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Finding the Fourth Proportional to 76,596.48, 114,756.48 and 39,548.16

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Solution

The fourth proportional to 76,596.48, 114,756.48 and 39,548.16 is: 59,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.48 : 114,756.48 = 39,548.16 : x
  2. Step 2: Convert to fraction form
    76,596.48/114,756.48 = 39,548.16/x
  3. Step 3: Cross multiply
    76,596.48x = 114,756.48 × 39,548.16
  4. Step 4: Simplify right side
    76,596.48x = 4,538,407,632.08
  5. Step 5: Solve for x
    x = 4,538,407,632.08/76,596.48
  6. Step 6: Final answer
    x = 59,250.86

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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.