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Finding the Fourth Proportional to 64,096.76, 96,041.46 and 52,415.48

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Solution

The fourth proportional to 64,096.76, 96,041.46 and 52,415.48 is: 78,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,096.76 : 96,041.46 = 52,415.48 : x
  2. Step 2: Convert to fraction form
    64,096.76/96,041.46 = 52,415.48/x
  3. Step 3: Cross multiply
    64,096.76x = 96,041.46 × 52,415.48
  4. Step 4: Simplify right side
    64,096.76x = 5,034,059,225.80
  5. Step 5: Solve for x
    x = 5,034,059,225.80/64,096.76
  6. Step 6: Final answer
    x = 78,538.44

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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.