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Finding the Fourth Proportional to 64,926.60, 97,462.80 and 50,200.80

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Solution

The fourth proportional to 64,926.60, 97,462.80 and 50,200.80 is: 75,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,926.60 : 97,462.80 = 50,200.80 : x
  2. Step 2: Convert to fraction form
    64,926.60/97,462.80 = 50,200.80/x
  3. Step 3: Cross multiply
    64,926.60x = 97,462.80 × 50,200.80
  4. Step 4: Simplify right side
    64,926.60x = 4,892,710,530.24
  5. Step 5: Solve for x
    x = 4,892,710,530.24/64,926.60
  6. Step 6: Final answer
    x = 75,357.57

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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.