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Finding the Fourth Proportional to 30,596.64, 45,884.56 and 10,601.47

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Solution

The fourth proportional to 30,596.64, 45,884.56 and 10,601.47 is: 15,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.64 : 45,884.56 = 10,601.47 : x
  2. Step 2: Convert to fraction form
    30,596.64/45,884.56 = 10,601.47/x
  3. Step 3: Cross multiply
    30,596.64x = 45,884.56 × 10,601.47
  4. Step 4: Simplify right side
    30,596.64x = 486,443,618.69
  5. Step 5: Solve for x
    x = 486,443,618.69/30,596.64
  6. Step 6: Final answer
    x = 15,898.60

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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.